Question 1

Graph the inequality.
-$y>x^{2}+2$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 2

Perform the indicated operation, whenever possible.
-Let $A = \left[ \begin{array} { r r r } 7 & - 4 & 8 \ - 6 & 5 & - 1 \ 0 & 6 & - 3 \end{array} \right]$ and $B = \left[ \begin{array} { r r r } - 2 & - 6 & - 1 \ - 7 & - 4 & 3 \ - 3 & - 9 & - 5 \end{array} \right]$. Find $A - B$

Accepted Answer

A)  $\left[ \begin{array} { r r r } 9 & 2 & 9 \ 1 & 9 & - 4 \ 3 & 15 & 2 \end{array} \right]$ 
B)  $\left[ \begin{array} { r r r } 5 & - 10 & 7 \ - 13 & 1 & - 8 \ - 3 & - 3 & 2 \end{array} \right]$ 
C)  $\left[ \begin{array} { r r r } 9 & 2 & 9 \ 1 & 9 & 2 \ 3 & 15 & - 4 \end{array} \right]$ 
D)  $\left[ \begin{array} { r r r } 5 & - 10 & 7 \ - 13 & 1 & 2 \ - 3 & - 3 & - 8 \end{array} \right]$ 
A)  $\left[ \begin{array} { r r r } 9 & 2 & 9 \ 1 & 9 & - 4 \ 3 & 15 & 2 \end{array} \right]$ 
B)  $\left[ \begin{array} { r r r } 5 & - 10 & 7 \ - 13 & 1 & - 8 \ - 3 & - 3 & 2 \end{array} \right]$ 
C)  $\left[ \begin{array} { r r r } 9 & 2 & 9 \ 1 & 9 & 2 \ 3 & 15 & - 4 \end{array} \right]$ 
D)  $\left[ \begin{array} { r r r } 5 & - 10 & 7 \ - 13 & 1 & 2 \ - 3 & - 3 & - 8 \end{array} \right]$

Question 3

Solve the problem using matrices.
-Find the function $f ( x ) = a x ^ { 3 } + b x ^ { 2 } + c x + d$ for which $f ( 0 ) = - 2 , f ( 1 ) = 5 , f ( - 1 ) = 3$, $f ( 2 ) = 4$.

Accepted Answer

A)  $f ( x ) = 10 x ^ { 3 } - 18 x ^ { 2 } - 13 x + 6$ 
B)  $f ( x ) = - 8 x ^ { 3 } + 12 x ^ { 2 } + 5 x - 6$ 
C)  $f ( x ) = - \frac { 10 } { 3 } x ^ { 3 } + 6 x ^ { 2 } + \frac { 13 } { 3 } x - 2$ 
D)  $f ( x ) = \frac { 8 } { 3 } x ^ { 3 } + 4 x ^ { 2 } + \frac { 5 } { 3 } x - 2$ 
A)  $f ( x ) = 10 x ^ { 3 } - 18 x ^ { 2 } - 13 x + 6$ 
B)  $f ( x ) = - 8 x ^ { 3 } + 12 x ^ { 2 } + 5 x - 6$ 
C)  $f ( x ) = - \frac { 10 } { 3 } x ^ { 3 } + 6 x ^ { 2 } + \frac { 13 } { 3 } x - 2$ 
D)  $f ( x ) = \frac { 8 } { 3 } x ^ { 3 } + 4 x ^ { 2 } + \frac { 5 } { 3 } x - 2$

Question 4

Find the inverse of the matrix.
-$$\left[ \begin{array} { r r } 
- 6 & 5 \
3 & 0
\end{array} \right]$$

Accepted Answer

A)  $\left[\begin{array}{c}
0 \frac{1}{3} \
\frac{1}{5} \frac{2}{5}
\end{array}\right]$ 
B)  $\left[ \begin{array} { l l } \frac { 1 } { 5 } & \frac { 2 } { 5 } \ 0 & \frac { 1 } { 3 } \end{array} \right]$ 
C)  $\left[ \begin{array} { l l } \frac { 2 } { 5 } & \frac { 1 } { 3 } \ \frac { 1 } { 5 } & 0 \end{array} \right]$ 
D)  $\left[ \begin{array} { r r } 0 & - \frac { 1 } { 3 } \ - \frac { 1 } { 5 } & \frac { 2 } { 5 } \end{array} \right]$ 
A)  $\left[\begin{array}{c}
0 \frac{1}{3} \
\frac{1}{5} \frac{2}{5}
\end{array}\right]$ 
B)  $\left[ \begin{array} { l l } \frac { 1 } { 5 } & \frac { 2 } { 5 } \ 0 & \frac { 1 } { 3 } \end{array} \right]$ 
C)  $\left[ \begin{array} { l l } \frac { 2 } { 5 } & \frac { 1 } { 3 } \ \frac { 1 } { 5 } & 0 \end{array} \right]$ 
D)  $\left[ \begin{array} { r r } 0 & - \frac { 1 } { 3 } \ - \frac { 1 } { 5 } & \frac { 2 } { 5 } \end{array} \right]$

Question 5

Solve the system of equations by using substitution.
-$$\left\{ \begin{array} { r } 
x + 7 y = - 2 \
3 x + y = 34
\end{array} \right.$$

Accepted Answer

A)  $x = - 2 , y = 3$ 
B)  $x = 7 , y = 12$ 
C)  $x = 12 , y = - 2$ 
D)  $x = 3 , y = 7$ 
A)  $x = - 2 , y = 3$ 
B)  $x = 7 , y = 12$ 
C)  $x = 12 , y = - 2$ 
D)  $x = 3 , y = 7$

Question 6

Use the elimination method to solve the system.
-$$\left\{ \begin{array} { c } 
2 x + 24 y = - 154 \
9 x + 4 y = 35
\end{array} \right.$$

Accepted Answer

A)  $x = 9 , y = - 9$ 
B)  $x = 7 , y = - 7$ 
C)  $x = - 4 , y = 7$ 
D)  $x = - 7 , y = 7$ 
A)  $x = 9 , y = - 9$ 
B)  $x = 7 , y = - 7$ 
C)  $x = - 4 , y = 7$ 
D)  $x = - 7 , y = 7$

Question 7

Perform the indicated matrix operations.
-Let $\mathrm { A } = \left[ \begin{array} { l l } 1 & 3 \ 2 & 6 \end{array} \right]$ and $\mathrm { B } = \left[ \begin{array} { r r } 0 & 4 \ - 1 & 6 \end{array} \right]$. Find $2 \mathrm {~A} + \mathrm { B }$.

Accepted Answer

A)  $\left[ \begin{array} { l l } 2 & 10 \ 3 & 18 \end{array} \right]$ 
B)  $\left[ \begin{array} { l l } 2 & 10 \ 1 & 12 \end{array} \right]$ 
C)  $\left[ \begin{array} { l l } 2 & 14 \ 2 & 24 \end{array} \right]$ 
D)  $\left[ \begin{array} { r r } 2 & 7 \ 3 & 12 \end{array} \right]$ 
A)  $\left[ \begin{array} { l l } 2 & 10 \ 3 & 18 \end{array} \right]$ 
B)  $\left[ \begin{array} { l l } 2 & 10 \ 1 & 12 \end{array} \right]$ 
C)  $\left[ \begin{array} { l l } 2 & 14 \ 2 & 24 \end{array} \right]$ 
D)  $\left[ \begin{array} { r r } 2 & 7 \ 3 & 12 \end{array} \right]$

Question 8

Write the word or phrase that best completes each statement or answers the question.
Which method should be used to solve the system? Explain your answer, including a description of the first step.
-$$\left\{ \begin{array} { r } 
3 x ^ { 3 } + y ^ { 2 } = 6 \
x ^ { 4 } y = 2
\end{array} \right.$$

Accepted Answer

A)  no solution 
B)  $x = 1.81 , y = 0.28 ; x = 0.20 , y = 2.45 ; x = - 0.20 , y = - 2.45$ 
C)  $x = 1.18 , y = 1.03 ; x = 1.07 , y = 1.52 ; x = - 0.91 , y = 2.88$ 
D)  $x = 1.99 , y = 0.13 ; x = 1.04 , y = 1.70 ; x = - 0.91 , y = 2.95$ 
A)  no solution 
B)  $x = 1.81 , y = 0.28 ; x = 0.20 , y = 2.45 ; x = - 0.20 , y = - 2.45$ 
C)  $x = 1.18 , y = 1.03 ; x = 1.07 , y = 1.52 ; x = - 0.91 , y = 2.88$ 
D)  $x = 1.99 , y = 0.13 ; x = 1.04 , y = 1.70 ; x = - 0.91 , y = 2.95$

Question 9

Write the word or phrase that best completes each statement or answers the question.
-Let $A = \left[ \begin{array} { l } - 2 \ 1 \ - 1 \end{array} \right]$ and $B = \left[ \begin{array} { l l l } 1 & - 1 & 0 \end{array} \right]$
Find $\mathrm { AB }$.

Accepted Answer

\[\left[ \begin{arra

Question 10

Write the word or phrase that best completes each statement or answers the question.
Solve the problem.
-A coffee store has available 75 pounds of A grade coffee and 120 pounds of B grade coffee. These will be
blended into 1 pound packages as follow: an economy blend that contains 4 ounces of A grade coffee and 12
ounces of B grade coffee and a superior blend that contains 8 ounces of A grade coffee and 8 ounces of B grade
coffee. Using x to denote the number of packages of the economy blend and y to denote the number of packages
of the superior blend, write a system of linear inequalities that describes the possible number of packages of
each blend. Graph the system and label the corner points.

Accepted Answer

\[\left\{ \begin{array} { l }

Question 11

Find the inverse of the matrix.
-$$\left[ \begin{array} { l l l } 
1 & - 1 & 8 \
1 & 0 & 2 \
2 & - 1 & 10
\end{array} \right]$$

Accepted Answer

A)  $\left[ \begin{array} { l l l } 1 & 0 & 2 \ 0 & 1 & - 6 \ 0 & 0 & 0 \end{array} \right]$ 
B)  $\left[ \begin{array} { c c c } 1 & 1 & 2 \ - 1 & 0 & - 1 \ 8 & 2 & 10 \end{array} \right]$ 
C)  No inverse 
D)  $\left[ \begin{array} { l l l } 1 & 0 & 2 \ 0 & 1 & - 6 \ 0 & 7 & 0 \end{array} \right]$ 
A)  $\left[ \begin{array} { l l l } 1 & 0 & 2 \ 0 & 1 & - 6 \ 0 & 0 & 0 \end{array} \right]$ 
B)  $\left[ \begin{array} { c c c } 1 & 1 & 2 \ - 1 & 0 & - 1 \ 8 & 2 & 10 \end{array} \right]$ 
C)  No inverse 
D)  $\left[ \begin{array} { l l l } 1 & 0 & 2 \ 0 & 1 & - 6 \ 0 & 7 & 0 \end{array} \right]$

Question 12

Write the word or phrase that best completes each statement or answers the question.
-Lexie wants to have an income of $9000 per year from investments. To that end she is going to invest $90,000 in
three different accounts. These accounts pay 7%, 10%, and 14% simple interest. If she wants to have $10,000
more in the account paying 7% simple interest than she has in the account paying 14% simple interest, how
much should go into each account?

Accepted Answer

$40,000 at

Question 13

Solve the system of equations using substitution.
-$$\left\{ \begin{array} { l } 
x ^ { 2 } + y ^ { 2 } = 113 \
x + y = 15
\end{array} \right.$$

Accepted Answer

A)  $x = 8 , y = 7 ; x = 7 , y = 8$ 
B)  $x = 8 , y = - 7 ; x = 7 , y = - 8$ 
C)  $x = - 8 , y = 7 ; x = - 7 , y = 8$ 
D)  $x = - 8 , y = - 7 ; x = - 7 , y = - 8$ 
A)  $x = 8 , y = 7 ; x = 7 , y = 8$ 
B)  $x = 8 , y = - 7 ; x = 7 , y = - 8$ 
C)  $x = - 8 , y = 7 ; x = - 7 , y = 8$ 
D)  $x = - 8 , y = - 7 ; x = - 7 , y = - 8$

Question 14

Solve the system of equations by using substitution.
-$$\left\{ \begin{array} { l } 
3 x + y = 13 \
2 x + 9 y = - 8
\end{array} \right.$$

Accepted Answer

A)  $x = 5 , y = 2$ 
B)  $x = - 5 , y = 2$ 
C)  $x = 5 , y = - 2$ 
D)  $x = - 5 , y = - 2$ 
A)  $x = 5 , y = 2$ 
B)  $x = - 5 , y = 2$ 
C)  $x = 5 , y = - 2$ 
D)  $x = - 5 , y = - 2$

Question 15

Solve the problem.
-$$\text { Given that } \left| \begin{array} { l l l } 
x & y & z \
a & b & c \
2 & 4 & 5
\end{array} \right| = 3 \text {, find the value of the determinant } \left| \begin{array} { l l l } 
2 & 4 & 5 \
3 a & 3 b & 3 c \
x - 2 & y - 4 & z - 5
\end{array} \right| \text {. }$$

Accepted Answer

A)  -9 
B)  0 
C)  9 
D)  6 
A)  -9 
B)  0 
C)  9 
D)  6

Question 16

Solve the system of equations using substitution.
-$\left\{ \begin{array} { l } \ln x = 3 \ln y \ 3 ^ { x } = 27 y \ \end{array} \right.$

Accepted Answer

A)  $ x = \sqrt { 3 } , y = 9 $ 
B)  $x = 3 \sqrt { 3 } , y = \sqrt { 3 }$ 
C)  $x = \sqrt { 3 } , y = 3 \sqrt { 3 }$ 
D)  $x = 9 , y = \sqrt { 3 }$ 
A)  $ x = \sqrt { 3 } , y = 9 $ 
B)  $x = 3 \sqrt { 3 } , y = \sqrt { 3 }$ 
C)  $x = \sqrt { 3 } , y = 3 \sqrt { 3 }$ 
D)  $x = 9 , y = \sqrt { 3 }$

Question 17

Write the word or phrase that best completes each statement or answers the question.
-A company manufactures three types of wooden chairs: the Kitui, the Goa, and the Santa Fe. To make a Kitui
chair requires 1 hour of cutting time, 1.5 hours of assembly time, and 1 hour of finishing time. A Goa chair
requires 1.5 hours of cutting time, 2.5 hours of assembly time and 2 hours of finishing time. A Santa Fe chair
requires 1.5 hours of cutting time, 3 hours of assembly time, and 3 hours of finishing time. If 41 hours of cutting
time, 70 hours of assembly time, and 58 hours of finishing time were used one week, how many of each type of
chair were produced?

Accepted Answer

14 Kitui c

Question 18

Choose the one alternative that best completes the statement or answers the question.
-$$\begin{array} { l } 
R _ { 2 } = - 2 r _ { 2 } + r \
{ \left[ \begin{array} { r r r | r } 
2 & 4 & 6 & - 8 \
1 & 2 & 3 & 6 \
4 & 6 & 7 & 1
\end{array} \right] }
\end{array}$$

Accepted Answer

A)  $\left[ \begin{array} { l l l | r } 2 & 4 & 6 & - 8 \ 0 & 0 & 0 & - 20 \ 4 & 6 & 7 & 1 \end{array} \right]$ 
B)  $\left[ \begin{array} { r r r | r } 2 & 4 & 6 & - 8 \ - 4 & - 8 & - 12 & - 20 \ 4 & 6 & 7 & 1 \end{array} \right]$ 
C)  $\left[ \begin{array} { r r r | r } 2 & 4 & 6 & - 8 \ 0 & 0 & 0 & 0 \ 4 & 6 & 7 & 1 \end{array} \right]$ 
D)  $\left[ \begin{array} { r r r | r } 2 & 4 & 6 & - 8 \ - 4 & - 8 & - 12 & 6 \ 4 & 6 & 7 & 1 \end{array} \right]$ 
A)  $\left[ \begin{array} { l l l | r } 2 & 4 & 6 & - 8 \ 0 & 0 & 0 & - 20 \ 4 & 6 & 7 & 1 \end{array} \right]$ 
B)  $\left[ \begin{array} { r r r | r } 2 & 4 & 6 & - 8 \ - 4 & - 8 & - 12 & - 20 \ 4 & 6 & 7 & 1 \end{array} \right]$ 
C)  $\left[ \begin{array} { r r r | r } 2 & 4 & 6 & - 8 \ 0 & 0 & 0 & 0 \ 4 & 6 & 7 & 1 \end{array} \right]$ 
D)  $\left[ \begin{array} { r r r | r } 2 & 4 & 6 & - 8 \ - 4 & - 8 & - 12 & 6 \ 4 & 6 & 7 & 1 \end{array} \right]$

Question 19

Write the system of equations associated with the augmented matrix. Do not solve.
-$$\left[ \begin{array} { r r | r } 
9 & 7 & 17 \
7 & 18 & 5
\end{array} \right]$$

Accepted Answer

A)  $\left\{ \begin{array} { l } 7 x + 9 y = 17 \ 7 x + 18 y = 5 \end{array} \right.$ 
B)  $\left\{ \begin{array} { l } 9 x + 7 y = 17 \ 7 x + 18 y = 5 \end{array} \right.$ 
C)  $\left\{ \begin{array} { l } 9 x + 7 y = - 17 \ 7 x + 18 y = - 5 \end{array} \right.$ 
D)  $\left\{ \begin{array} { l } 9 x + 7 y = 17 \ 18 x + 7 y = 5 \end{array} \right.$ 
A)  $\left\{ \begin{array} { l } 7 x + 9 y = 17 \ 7 x + 18 y = 5 \end{array} \right.$ 
B)  $\left\{ \begin{array} { l } 9 x + 7 y = 17 \ 7 x + 18 y = 5 \end{array} \right.$ 
C)  $\left\{ \begin{array} { l } 9 x + 7 y = - 17 \ 7 x + 18 y = - 5 \end{array} \right.$ 
D)  $\left\{ \begin{array} { l } 9 x + 7 y = 17 \ 18 x + 7 y = 5 \end{array} \right.$

Question 20

Write the partial fraction decomposition of the rational expression.
-$$\frac { 13 x ^ { 2 } - x - 18 } { x ( x + 1 ) ( x - 1 ) }$$

Accepted Answer

A)  $\frac { 18 } { x } + \frac { 2 } { x + 1 } + \frac { - 3 } { x - 1 }$ 
B)  $\frac { 18 } { x } + \frac { - 2 } { x + 1 } + \frac { - 3 } { x - 1 }$ 
C)  $\frac { 18 } { x } + \frac { - 3 } { x + 1 } + \frac { 2 } { x - 1 }$ 
D)  $\frac { 18 } { x } + \frac { - 2 } { x + 1 } + \frac { 3 } { x - 1 }$ 
A)  $\frac { 18 } { x } + \frac { 2 } { x + 1 } + \frac { - 3 } { x - 1 }$ 
B)  $\frac { 18 } { x } + \frac { - 2 } { x + 1 } + \frac { - 3 } { x - 1 }$ 
C)  $\frac { 18 } { x } + \frac { - 3 } { x + 1 } + \frac { 2 } { x - 1 }$ 
D)  $\frac { 18 } { x } + \frac { - 2 } { x + 1 } + \frac { 3 } { x - 1 }$

Graph the inequality. - $y>x^{2}+2$ $Graph the inequality. - y>x^{2}+2$

Perform the indicated operation, whenever possible. -Let $A = \left[ \begin{array} { r r r } 7 & - 4 & 8 \\ - 6 & 5 & - 1 \\ 0 & 6 & - 3 \end{array} \right]$ and $B = \left[ \begin{array} { r r r } - 2 & - 6 & - 1 \\ - 7 & - 4 & 3 \\ - 3 & - 9 & - 5 \end{array} \right]$ . Find $A - B$

Solve the problem using matrices. -Find the function $f ( x ) = a x ^ { 3 } + b x ^ { 2 } + c x + d$ for which $f ( 0 ) = - 2 , f ( 1 ) = 5 , f ( - 1 ) = 3$ , $f ( 2 ) = 4$ .

Find the inverse of the matrix. - $\left[ \begin{array} { r r } - 6 & 5 \\3 & 0\end{array} \right]$

Solve the system of equations by using substitution. - $\left\{ \begin{array} { r } x + 7 y = - 2 \\3 x + y = 34\end{array} \right.$

Use the elimination method to solve the system. - $\left\{ \begin{array} { c } 2 x + 24 y = - 154 \\9 x + 4 y = 35\end{array} \right.$

Perform the indicated matrix operations. -Let $\mathrm { A } = \left[ \begin{array} { l l } 1 & 3 \\ 2 & 6 \end{array} \right]$ and $\mathrm { B } = \left[ \begin{array} { r r } 0 & 4 \\ - 1 & 6 \end{array} \right]$ . Find $2 \mathrm {~A} + \mathrm { B }$ .

Write the word or phrase that best completes each statement or answers the question. Which method should be used to solve the system? Explain your answer, including a description of the first step. - $\left\{ \begin{array} { r } 3 x ^ { 3 } + y ^ { 2 } = 6 \\x ^ { 4 } y = 2\end{array} \right.$

Write the word or phrase that best completes each statement or answers the question. -Let $A = \left[ \begin{array} { l } - 2 \\ 1 \\ - 1 \end{array} \right]$ and $B = \left[ \begin{array} { l l l } 1 & - 1 & 0 \end{array} \right]$ Find $\mathrm { AB }$ .

Find the inverse of the matrix. - $\left[ \begin{array} { l l l } 1 & - 1 & 8 \\1 & 0 & 2 \\2 & - 1 & 10\end{array} \right]$

Solve the system of equations using substitution. - $\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 113 \\x + y = 15\end{array} \right.$

Solve the system of equations by using substitution. - $\left\{ \begin{array} { l } 3 x + y = 13 \\2 x + 9 y = - 8\end{array} \right.$

Solve the problem. - $\text { Given that } \left| \begin{array} { l l l } x & y & z \\a & b & c \\2 & 4 & 5\end{array} \right| = 3 \text {, find the value of the determinant } \left| \begin{array} { l l l } 2 & 4 & 5 \\3 a & 3 b & 3 c \\x - 2 & y - 4 & z - 5\end{array} \right| \text {. }$

Solve the system of equations using substitution. - $\left\{ \begin{array} { l } \ln x = 3 \ln y \\ 3 ^ { x } = 27 y \\ \end{array} \right.$

Choose the one alternative that best completes the statement or answers the question. - =-2+r 2 4 6 -8 1 2 3 6 4 6 7 1

Write the system of equations associated with the augmented matrix. Do not solve. - $\left[ \begin{array} { r r | r } 9 & 7 & 17 \\7 & 18 & 5\end{array} \right]$

Write the partial fraction decomposition of the rational expression. - $\frac { 13 x ^ { 2 } - x - 18 } { x ( x + 1 ) ( x - 1 ) }$

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Foundations: a Prelude to Functions

Graphing Utilities

Filters

Exam 10: Systems of Equations and Inequalities

Graph the inequality. - y>x2+2y>x^{2}+2y>x2+2

Solve the problem using matrices. -Find the function f(x)=ax3+bx2+cx+df ( x ) = a x ^ { 3 } + b x ^ { 2 } + c x + df(x)=ax3+bx2+cx+d for which f(0)=−2,f(1)=5,f(−1)=3f ( 0 ) = - 2 , f ( 1 ) = 5 , f ( - 1 ) = 3f(0)=−2,f(1)=5,f(−1)=3 , f(2)=4f ( 2 ) = 4f(2)=4 .

Find the inverse of the matrix. - [−6530]\left[ \begin{array} { r r } - 6 & 5 \\3 & 0\end{array} \right][−63​50​]

Solve the system of equations by using substitution. - {x+7y=−23x+y=34\left\{ \begin{array} { r } x + 7 y = - 2 \\3 x + y = 34\end{array} \right.{x+7y=−23x+y=34​

Use the elimination method to solve the system. - {2x+24y=−1549x+4y=35\left\{ \begin{array} { c } 2 x + 24 y = - 154 \\9 x + 4 y = 35\end{array} \right.{2x+24y=−1549x+4y=35​

Find the inverse of the matrix. - [1−181022−110]\left[ \begin{array} { l l l } 1 & - 1 & 8 \\1 & 0 & 2 \\2 & - 1 & 10\end{array} \right]​112​−10−1​8210​​

Solve the system of equations using substitution. - {x2+y2=113x+y=15\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 113 \\x + y = 15\end{array} \right.{x2+y2=113x+y=15​

Solve the system of equations by using substitution. - {3x+y=132x+9y=−8\left\{ \begin{array} { l } 3 x + y = 13 \\2 x + 9 y = - 8\end{array} \right.{3x+y=132x+9y=−8​

Solve the system of equations using substitution. - {ln⁡x=3ln⁡y3x=27y\left\{ \begin{array} { l } \ln x = 3 \ln y \\ 3 ^ { x } = 27 y \\ \end{array} \right.{lnx=3lny3x=27y​