Solve by using the substitution method. \[\begin{array} { l } x - y = 9 \\ 4 x + 5 y = - 18 \end{array}\]

A) (1, -8) B) (2, -7) C) (5, -4) D) (3, -6) A) (1, -8) B) (2, -7) C) (5, -4) D) (3, -6)

Find C and D such that the solution set to the system is {(5,4)}. \[\begin{aligned} C x + 2 y & = 18 \\ - 3 x + \mathrm { D } y & = 9 \end{aligned}\]

A) C = 2; D = 6 B) C = 4; D = 5 C) C = 6; D = 2 D) C = 5; D = 4 A) C = 2; D = 6 B) C = 4; D = 5 C) C = 6; D = 2 D) C = 5; D = 4

Solve the system by the addition method. \[\begin{array} { l } - 5 x - y = 38 \\ - 6 x - 3 y = 60 \end{array}\]

A) $( - 5 , - 13 )$ B) $( - 9 , - 2 )$ C) $( - 6 , - 8 )$ D) $( - 7 , - 3 )$ A) $( - 5 , - 13 )$ B) $( - 9 , - 2 )$ C) $( - 6 , - 8 )$ D) $( - 7 , - 3 )$

Solve by using the substitution method. \[\begin{array} { l } 2 x - y = - 20 \\ y = - 2 x \end{array}\]

A) (-5, 10) B) (-3, 6) C) (-8, 16) D) No solution; { }; inconsistent system A) (-5, 10) B) (-3, 6) C) (-8, 16) D) No solution; { }; inconsistent system

Solve by using either the addition method or the substitution method. \[\begin{array} { l } - 5 ( x + y ) = 17 - 7 y \\ - 3 ( x - 3 y ) = - 24 + 4 y \end{array}\]

A) (-2, -6) B) (-5, -4) C) (-7, -9) D) (-9, -14) A) (-2, -6) B) (-5, -4) C) (-7, -9) D) (-9, -14)

Exam 3: Systems of Linear Equations and Inequalities

Solve the system of equations by graphing. y=x-3 y=-x+2 $Solve the system of equations by graphing. \begin{array} { l } y = \frac { 2 } { 5 } x - 3 \\ y = - \frac { 3 } { 5 } x + 2 \end{array}$

(Essay)

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Question 81

Solve the system of equations by graphing. 3x-y=-7 2x+3y=-1 $Solve the system of equations by graphing. \begin{array} { r } 3 x - y = - 7 \\ 2 x + 3 y = - 1 \end{array}$

(Essay)

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Question 82

The system below is called a homogeneous system because it has $( 0,0,0 )$ as a solution. However, if the system is dependent, it will have infinitely many more solutions. Determine whether $( 0,0,0 )$ is the only solution or if the system is dependent. -9x+8y-4z=0 8x+9y-4z=0 3x-4y-9z=0

(Multiple Choice)

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Question 83

Write a system of linear equations represented by the augmented matrix. $\left[ \begin{array} { l l l | l } 1 & 0 & 0 & 14 \\ 0 & 1 & 0 & 13 \\ 0 & 0 & 1 & 15 \end{array} \right]$

(Multiple Choice)

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Question 84

Solve by using the substitution method. x-y=9 4x+5y=-18

(Multiple Choice)

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Question 85

Find C and D such that the solution set to the system is {(5,4)}. Cx+2y =18 -3x+y =9

(Multiple Choice)

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Question 86

Graph the feasible region. x\geq0,y\geq0 x+y\leq5 x+3y\leq9

(Multiple Choice)

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Question 87

Graph the solution set of the inequality. $y \leq \frac { 3 } { 4 } x - 1$

(Multiple Choice)

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Question 88

The cost to rent an apartment at Glendale Lakes is $950 per month plus a one-time fee of $300. An apartment at the Breakers requires a $500 pet fee plus $925 per month. a. Write the cost y to rent for x months for each apartment. b. Find the number of months for which the total amount spent for each apartment would be the same for renters with pets.

(Short Answer)

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Question 89

Solve the system. If there is no unique solution, label the system as either dependent or inconsistent. -2x+y =2(z+7) -3x-4(-4y+2z) =-2 4(-2x-2z) =56-4y

(Multiple Choice)

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Question 90

Solve the system of equations by graphing. 3x=8-4y y=-x+2 $Solve the system of equations by graphing. \begin{array} { l } 3 x = 8 - 4 y \\ y = - \frac { 3 } { 4 } x + 2 \end{array}$

(Essay)

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Question 91

Solve the system by the addition method. -5x-y=38 -6x-3y=60

(Multiple Choice)

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Question 92

Solve by using the substitution method. 2x-y=-20 y=-2x

(Multiple Choice)

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Question 93

Use the matrix features on a graphing calculator to express the augmented matrix in reduced row echelon form. $\left[ \begin{array} { c c c | c } - 3 & 1 & - 3 & - 5 \\- 1 & 2 & 5 & - 11 \\5 & 2 & 4 & 2\end{array} \right]$

(Multiple Choice)

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Question 94

Solve by using either the addition method or the substitution method. -5(x+y)=17-7y -3(x-3y)=-24+4y

(Multiple Choice)

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Question 95

Graph the solution set of the compound inequality. $- 3 y < x - 7 \text { and } x > 5$

(Essay)

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Question 96

In a right triangle, one acute angle measures 30° more than 4 times the other. If the sum of the measures of the two acute angles must equal 90°, find the measures of the acute angles.

(Multiple Choice)

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Question 97

Decide which inequality symbol (<, >, $\leq$ , $\geq$ ) should be used by looking at the graph. x - y 2 $Decide which inequality symbol (<, >, \leq , \geq ) should be used by looking at the graph. x - y 2$

(Multiple Choice)

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Question 98

Solve the system of equations by graphing. y=5x-3 y=3x-1 $Solve the system of equations by graphing. \begin{array} { l } y = 5 x - 3 \\ y = 3 x - 1 \end{array}$

(Essay)

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Question 99

Graph the solution set of the compound inequality. $x \leq 1$ or $y \leq 0$

(Multiple Choice)

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Question 100

Showing 81 - 100 of 118

Solve the system of equations by graphing. y=x-3 y=-x+2 $Solve the system of equations by graphing. \begin{array} { l } y = \frac { 2 } { 5 } x - 3 \\ y = - \frac { 3 } { 5 } x + 2 \end{array}$

Solve the system of equations by graphing. 3x-y=-7 2x+3y=-1 $Solve the system of equations by graphing. \begin{array} { r } 3 x - y = - 7 \\ 2 x + 3 y = - 1 \end{array}$

The system below is called a homogeneous system because it has $( 0,0,0 )$ as a solution. However, if the system is dependent, it will have infinitely many more solutions. Determine whether $( 0,0,0 )$ is the only solution or if the system is dependent. -9x+8y-4z=0 8x+9y-4z=0 3x-4y-9z=0

Write a system of linear equations represented by the augmented matrix. $\left[ \begin{array} { l l l | l } 1 & 0 & 0 & 14 \\ 0 & 1 & 0 & 13 \\ 0 & 0 & 1 & 15 \end{array} \right]$

Solve by using the substitution method. x-y=9 4x+5y=-18

Find C and D such that the solution set to the system is {(5,4)}. Cx+2y =18 -3x+y =9

Graph the feasible region. x\geq0,y\geq0 x+y\leq5 x+3y\leq9

Graph the solution set of the inequality. $y \leq \frac { 3 } { 4 } x - 1$

Solve the system. If there is no unique solution, label the system as either dependent or inconsistent. -2x+y =2(z+7) -3x-4(-4y+2z) =-2 4(-2x-2z) =56-4y

Solve the system of equations by graphing. 3x=8-4y y=-x+2 $Solve the system of equations by graphing. \begin{array} { l } 3 x = 8 - 4 y \\ y = - \frac { 3 } { 4 } x + 2 \end{array}$

Solve the system by the addition method. -5x-y=38 -6x-3y=60

Solve by using the substitution method. 2x-y=-20 y=-2x

Use the matrix features on a graphing calculator to express the augmented matrix in reduced row echelon form. $\left[ \begin{array} { c c c | c } - 3 & 1 & - 3 & - 5 \\- 1 & 2 & 5 & - 11 \\5 & 2 & 4 & 2\end{array} \right]$

Solve by using either the addition method or the substitution method. -5(x+y)=17-7y -3(x-3y)=-24+4y

Graph the solution set of the compound inequality. $- 3 y < x - 7 \text { and } x > 5$

In a right triangle, one acute angle measures 30° more than 4 times the other. If the sum of the measures of the two acute angles must equal 90°, find the measures of the acute angles.

Decide which inequality symbol (<, >, $\leq$ , $\geq$ ) should be used by looking at the graph. x - y 2 $Decide which inequality symbol (<, >, \leq , \geq ) should be used by looking at the graph. x - y 2$

Solve the system of equations by graphing. y=5x-3 y=3x-1 $Solve the system of equations by graphing. \begin{array} { l } y = 5 x - 3 \\ y = 3 x - 1 \end{array}$

Graph the solution set of the compound inequality. $x \leq 1$ or $y \leq 0$

Linear Equations and Inequalities in One Variable

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Exam 3: Systems of Linear Equations and Inequalities

Solve the system of equations by graphing. y=x-3 y=-x+2

Solve the system of equations by graphing. 3x-y=-7 2x+3y=-1

Write a system of linear equations represented by the augmented matrix. [100140101300115]\left[ \begin{array} { l l l | l } 1 & 0 & 0 & 14 \\ 0 & 1 & 0 & 13 \\ 0 & 0 & 1 & 15 \end{array} \right]​100​010​001​141315​​

Solve by using the substitution method. x-y=9 4x+5y=-18

Find C and D such that the solution set to the system is {(5,4)}. Cx+2y =18 -3x+y =9

Graph the feasible region. x\geq0,y\geq0 x+y\leq5 x+3y\leq9

Graph the solution set of the inequality. y≤34x−1y \leq \frac { 3 } { 4 } x - 1y≤43​x−1

Solve the system. If there is no unique solution, label the system as either dependent or inconsistent. -2x+y =2(z+7) -3x-4(-4y+2z) =-2 4(-2x-2z) =56-4y

Solve the system of equations by graphing. 3x=8-4y y=-x+2

Solve the system by the addition method. -5x-y=38 -6x-3y=60

Solve by using the substitution method. 2x-y=-20 y=-2x

Use the matrix features on a graphing calculator to express the augmented matrix in reduced row echelon form. [−31−3−5−125−115242]\left[ \begin{array} { c c c | c } - 3 & 1 & - 3 & - 5 \\- 1 & 2 & 5 & - 11 \\5 & 2 & 4 & 2\end{array} \right]​−3−15​122​−354​−5−112​​

Solve by using either the addition method or the substitution method. -5(x+y)=17-7y -3(x-3y)=-24+4y

Graph the solution set of the compound inequality. −3y<x−7 and x>5- 3 y < x - 7 \text { and } x > 5−3y<x−7 and x>5

In a right triangle, one acute angle measures 30° more than 4 times the other. If the sum of the measures of the two acute angles must equal 90°, find the measures of the acute angles.

Decide which inequality symbol (<, >, ≤\leq≤ , ≥\geq≥ ) should be used by looking at the graph. x - y ____2

Solve the system of equations by graphing. y=5x-3 y=3x-1

Graph the solution set of the compound inequality. x≤1x \leq 1x≤1 or y≤0y \leq 0y≤0

Linear Equations and Inequalities in One Variable

Linear Equations in Two Variables and Functions

Polynomials

Rational Expressions and Rational Equations

Radicals and Complex Numbers

Quadratic Equations, Functions and Inequalities

Exponential and Logarithmic Functions and Applications

Conic Sections

Binomial Expansions, Sequences, and Series

Online: Transformations, Piecewise-Defined Functions, and Probability

Filters

Solve the system of equations by graphing. y=x-3 y=-x+2 $Solve the system of equations by graphing. \begin{array} { l } y = \frac { 2 } { 5 } x - 3 \\ y = - \frac { 3 } { 5 } x + 2 \end{array}$

Solve the system of equations by graphing. 3x-y=-7 2x+3y=-1 $Solve the system of equations by graphing. \begin{array} { r } 3 x - y = - 7 \\ 2 x + 3 y = - 1 \end{array}$

Write a system of linear equations represented by the augmented matrix. $\left[ \begin{array} { l l l | l } 1 & 0 & 0 & 14 \\ 0 & 1 & 0 & 13 \\ 0 & 0 & 1 & 15 \end{array} \right]$

Graph the solution set of the inequality. $y \leq \frac { 3 } { 4 } x - 1$

Solve the system of equations by graphing. 3x=8-4y y=-x+2 $Solve the system of equations by graphing. \begin{array} { l } 3 x = 8 - 4 y \\ y = - \frac { 3 } { 4 } x + 2 \end{array}$

Use the matrix features on a graphing calculator to express the augmented matrix in reduced row echelon form. $\left[ \begin{array} { c c c | c } - 3 & 1 & - 3 & - 5 \\- 1 & 2 & 5 & - 11 \\5 & 2 & 4 & 2\end{array} \right]$

Graph the solution set of the compound inequality. $- 3 y < x - 7 \text { and } x > 5$

Decide which inequality symbol (<, >, $\leq$ , $\geq$ ) should be used by looking at the graph. x - y 2 $Decide which inequality symbol (<, >, \leq , \geq ) should be used by looking at the graph. x - y 2$

Solve the system of equations by graphing. y=5x-3 y=3x-1 $Solve the system of equations by graphing. \begin{array} { l } y = 5 x - 3 \\ y = 3 x - 1 \end{array}$

Graph the solution set of the compound inequality. $x \leq 1$ or $y \leq 0$