Solve the system of equations using Cramer's rule. -$2 \mathrm{x}-\mathrm{y}-2 \mathrm{z}=-16$ \[\begin{aligned} & x+\frac{5}{2} y-4 z=10 \\ & \frac{5}{2} x+\frac{5}{4} y-\frac{5}{3} z=15 \end{aligned}\]

A) $(3,10,6)$ B) $(5,14,6)$ C) $(4,10,7)$ D) $(4,12,6)$ A) $(3,10,6)$ B) $(5,14,6)$ C) $(4,10,7)$ D) $(4,12,6)$

Exam 4: Systems of Equations

Solve the system by graphing. If the system is inconsistent and has no solution, state this. If the system is dependent, write the form of the solution for any real number $x$ . - y=34-5x x+5y=26 $Solve the system by graphing. If the system is inconsistent and has no solution, state this. If the system is dependent, write the form of the solution for any real number x . - \begin{array}{l} y=34-5 x \\ x+5 y=26 \end{array}$

(Multiple Choice)

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Question 61

Solve the system by graphing. If the system is inconsistent and has no solution, state this. If the system is dependent, write the form of the solution for any real number $x$ . - $3 x-2 y=-4$ $-2 x+3 y=16$

(Multiple Choice)

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Question 62

Solve the system of equations using Cramer's rule. - $4 x+3 y+z=-11$ $5 x-2 y-z=-23$ $2 \mathrm{x}+\mathrm{y}+5 \mathrm{z}=-11$

(Multiple Choice)

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Question 63

Solve the system by substitution. If the system is inconsistent and has no solution, state this. If the system is dependent, write the form of the solution for any real number $x$ . - $x=4-4 y$ $3 x+5 y=5$

(Multiple Choice)

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Question 64

$-2 x-y-3 z=-26$ $-5 x-2 z=-15$ $5 y+z=50$

(Multiple Choice)

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Question 65

A retired couple invested a total of $\$ 130,000$ . They invested some of the money in safe certificates of deposit yielding $5 \%$ . The remainder they invested in AA bonds yielding $10 \%$ per year. In the first year they made a total profit of $\$ 11,000$ . How much did they invest at each rate?

(Multiple Choice)

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Question 66

Solve the system of equations using Cramer's rule. - $x+5 y=40$ $2 \mathrm{x}+4 \mathrm{y}=26$

(Multiple Choice)

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Question 67

Solve the system of equations using matrices. - $4 x-15 y=-8$ $-16 x+9 y=-2$

(Multiple Choice)

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Question 68

Solve by addition or substitution. - $x+2 y=-4$ $-5 x+2 y=32$

(Multiple Choice)

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Question 69

Sketch the feasible region, and use linear programming to find the maximum value of $\mathrm{z}$ on the feasible region. - $\mathrm{y} \geq 2 \mathrm{x}-1$ $z=2 x+5 y \quad y \leq \frac{1}{2} x+8$ $\mathrm{y} \geq-\mathrm{x}+14$ $Sketch the feasible region, and use linear programming to find the maximum value of \mathrm{z} on the feasible region. - \mathrm{y} \geq 2 \mathrm{x}-1 z=2 x+5 y \quad y \leq \frac{1}{2} x+8 \mathrm{y} \geq-\mathrm{x}+14$ $Sketch the feasible region, and use linear programming to find the maximum value of \mathrm{z} on the feasible region. - \mathrm{y} \geq 2 \mathrm{x}-1 z=2 x+5 y \quad y \leq \frac{1}{2} x+8 \mathrm{y} \geq-\mathrm{x}+14$

(Short Answer)

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Question 70

Graph the system of inequalities. - $x-2 y \leq 2$ $x+y \leq 0$ $Graph the system of inequalities. - x-2 y \leq 2 x+y \leq 0$

(Multiple Choice)

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Question 71

Solve the system of equations using Cramer's rule. - $2 \mathrm{x}-\mathrm{y}-2 \mathrm{z}=-16$ x+y-4z=10 x+y-z=15

(Multiple Choice)

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Question 72

Evaluate the determinant - $\left|\begin{array}{ll}5 & 2 \\ 7 & 3\end{array}\right|$

(Multiple Choice)

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Question 73

Two angles are complementary. The sum of the first angle plus twice the second angle is $153^{\circ}$ . Find the measures of the angles.

(Multiple Choice)

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Question 74

Is the ordered pair a solution of the given system of equations? - left parenthesisminus2commaminus1right parenthesiscomma x+y=-3 x-y=-1

(True/False)

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Question 75

Draw the graph of a linear equation that, along with the given line, forms an inconsistent system.

(Essay)

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Question 76

Graph the system of inequalities. - $3y - x \leq 9$ $y + 2x \leq 10$ $Y ? 0$ $Graph the system of inequalities. - 3y - x \leq 9 y + 2x \leq 10 Y ? 0$

(Multiple Choice)

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Question 77

Solve the system of equations using matrices. - $3 x+3 y+z=-20$ $5 x-3 y-z=12$ $2 \mathrm{x}+\mathrm{y}+5 \mathrm{z}=-17$

(Multiple Choice)

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Question 78

Solve the system by graphing. If the system is inconsistent and has no solution, state this. If the system is dependent, write the form of the solution for any real number $x$ . - $4 x+2 y=40$ $-2 x+4 y=20$

(Multiple Choice)

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Question 79

A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. Cable $B$ requires 1 black, 2 white, and 1 red. Cable $C$ requires 2 black, 1 white, and 2 red. They used 100 black, 110 white and 80 red wires. How many of each cable were made?

(Multiple Choice)

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Question 80

Showing 61 - 80 of 204

Solve the system by graphing. If the system is inconsistent and has no solution, state this. If the system is dependent, write the form of the solution for any real number $x$ . - $3 x-2 y=-4$ $-2 x+3 y=16$

Solve the system of equations using Cramer's rule. - $4 x+3 y+z=-11$ $5 x-2 y-z=-23$ $2 \mathrm{x}+\mathrm{y}+5 \mathrm{z}=-11$

Solve the system by substitution. If the system is inconsistent and has no solution, state this. If the system is dependent, write the form of the solution for any real number $x$ . - $x=4-4 y$ $3 x+5 y=5$

$-2 x-y-3 z=-26$ $-5 x-2 z=-15$ $5 y+z=50$

A retired couple invested a total of $\$ 130,000$ . They invested some of the money in safe certificates of deposit yielding $5 \%$ . The remainder they invested in AA bonds yielding $10 \%$ per year. In the first year they made a total profit of $\$ 11,000$ . How much did they invest at each rate?

Solve the system of equations using Cramer's rule. - $x+5 y=40$ $2 \mathrm{x}+4 \mathrm{y}=26$

Solve the system of equations using matrices. - $4 x-15 y=-8$ $-16 x+9 y=-2$

Solve by addition or substitution. - $x+2 y=-4$ $-5 x+2 y=32$

Graph the system of inequalities. - $x-2 y \leq 2$ $x+y \leq 0$ $Graph the system of inequalities. - x-2 y \leq 2 x+y \leq 0$

Solve the system of equations using Cramer's rule. - $2 \mathrm{x}-\mathrm{y}-2 \mathrm{z}=-16$ x+y-4z=10 x+y-z=15

Evaluate the determinant - $\left|\begin{array}{ll}5 & 2 \\ 7 & 3\end{array}\right|$

Two angles are complementary. The sum of the first angle plus twice the second angle is $153^{\circ}$ . Find the measures of the angles.

Is the ordered pair a solution of the given system of equations? - left parenthesisminus2commaminus1right parenthesiscomma x+y=-3 x-y=-1

Draw the graph of a linear equation that, along with the given line, forms an inconsistent system.

Graph the system of inequalities. - $3y - x \leq 9$ $y + 2x \leq 10$ $Y ? 0$ $Graph the system of inequalities. - 3y - x \leq 9 y + 2x \leq 10 Y ? 0$

Solve the system of equations using matrices. - $3 x+3 y+z=-20$ $5 x-3 y-z=12$ $2 \mathrm{x}+\mathrm{y}+5 \mathrm{z}=-17$

Solve the system by graphing. If the system is inconsistent and has no solution, state this. If the system is dependent, write the form of the solution for any real number $x$ . - $4 x+2 y=40$ $-2 x+4 y=20$

A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. Cable $B$ requires 1 black, 2 white, and 1 red. Cable $C$ requires 2 black, 1 white, and 2 red. They used 100 black, 110 white and 80 red wires. How many of each cable were made?

Review of Real Numbers

Linear and Absolute Value Equations and Inequalities

Graphing Linear Equations

Exponents, Polynomials, and Factoring Polynomials

Rational Expressions and Equations

Radical Expressions and Equations

Quadratic Equations

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 4: Systems of Equations

Solve the system by graphing. If the system is inconsistent and has no solution, state this. If the system is dependent, write the form of the solution for any real number xxx . - y=34-5x x+5y=26

Solve the system by graphing. If the system is inconsistent and has no solution, state this. If the system is dependent, write the form of the solution for any real number xxx . - 3x−2y=−43 x-2 y=-43x−2y=−4 −2x+3y=16-2 x+3 y=16−2x+3y=16

Solve the system of equations using Cramer's rule. - 4x+3y+z=−114 x+3 y+z=-114x+3y+z=−11 5x−2y−z=−235 x-2 y-z=-235x−2y−z=−23 2x+y+5z=−112 \mathrm{x}+\mathrm{y}+5 \mathrm{z}=-112x+y+5z=−11

Solve the system by substitution. If the system is inconsistent and has no solution, state this. If the system is dependent, write the form of the solution for any real number xxx . - x=4−4yx=4-4 yx=4−4y 3x+5y=53 x+5 y=53x+5y=5

−2x−y−3z=−26-2 x-y-3 z=-26−2x−y−3z=−26 −5x−2z=−15-5 x-2 z=-15−5x−2z=−15 5y+z=505 y+z=505y+z=50

Solve the system of equations using Cramer's rule. - x+5y=40x+5 y=40x+5y=40 2x+4y=262 \mathrm{x}+4 \mathrm{y}=262x+4y=26

Solve the system of equations using matrices. - 4x−15y=−84 x-15 y=-84x−15y=−8 −16x+9y=−2-16 x+9 y=-2−16x+9y=−2

Solve by addition or substitution. - x+2y=−4x+2 y=-4x+2y=−4 −5x+2y=32-5 x+2 y=32−5x+2y=32

Sketch the feasible region, and use linear programming to find the maximum value of z\mathrm{z}z on the feasible region. - y≥2x−1\mathrm{y} \geq 2 \mathrm{x}-1y≥2x−1 z=2x+5yy≤12x+8z=2 x+5 y \quad y \leq \frac{1}{2} x+8z=2x+5yy≤21​x+8 y≥−x+14\mathrm{y} \geq-\mathrm{x}+14y≥−x+14

Graph the system of inequalities. - x−2y≤2x-2 y \leq 2x−2y≤2 x+y≤0x+y \leq 0x+y≤0

Solve the system of equations using Cramer's rule. - 2x−y−2z=−162 \mathrm{x}-\mathrm{y}-2 \mathrm{z}=-162x−y−2z=−16 x+y-4z=10 x+y-z=15

Evaluate the determinant - ∣5273∣\left|\begin{array}{ll}5 & 2 \\ 7 & 3\end{array}\right|​57​23​​

Two angles are complementary. The sum of the first angle plus twice the second angle is 153∘153^{\circ}153∘ . Find the measures of the angles.

Is the ordered pair a solution of the given system of equations? - left parenthesisminus2commaminus1right parenthesiscomma x+y=-3 x-y=-1

Draw the graph of a linear equation that, along with the given line, forms an inconsistent system.

Graph the system of inequalities. - 3y−x≤93y - x \leq 9 3y−x≤9 y+2x≤10y + 2x \leq 10y+2x≤10 Y?0Y ? 0Y?0

Solve the system of equations using matrices. - 3x+3y+z=−203 x+3 y+z=-203x+3y+z=−20 5x−3y−z=125 x-3 y-z=125x−3y−z=12 2x+y+5z=−172 \mathrm{x}+\mathrm{y}+5 \mathrm{z}=-172x+y+5z=−17

Solve the system by graphing. If the system is inconsistent and has no solution, state this. If the system is dependent, write the form of the solution for any real number xxx . - 4x+2y=404 x+2 y=404x+2y=40 −2x+4y=20-2 x+4 y=20−2x+4y=20

A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. Cable BBB requires 1 black, 2 white, and 1 red. Cable CCC requires 2 black, 1 white, and 2 red. They used 100 black, 110 white and 80 red wires. How many of each cable were made?

Review of Real Numbers

Linear and Absolute Value Equations and Inequalities

Graphing Linear Equations

Exponents, Polynomials, and Factoring Polynomials

Rational Expressions and Equations

Radical Expressions and Equations

Quadratic Equations

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Solve the system by graphing. If the system is inconsistent and has no solution, state this. If the system is dependent, write the form of the solution for any real number $x$ . - $3 x-2 y=-4$ $-2 x+3 y=16$

Solve the system of equations using Cramer's rule. - $4 x+3 y+z=-11$ $5 x-2 y-z=-23$ $2 \mathrm{x}+\mathrm{y}+5 \mathrm{z}=-11$

Solve the system by substitution. If the system is inconsistent and has no solution, state this. If the system is dependent, write the form of the solution for any real number $x$ . - $x=4-4 y$ $3 x+5 y=5$

$-2 x-y-3 z=-26$ $-5 x-2 z=-15$ $5 y+z=50$

Solve the system of equations using Cramer's rule. - $x+5 y=40$ $2 \mathrm{x}+4 \mathrm{y}=26$

Solve the system of equations using matrices. - $4 x-15 y=-8$ $-16 x+9 y=-2$

Solve by addition or substitution. - $x+2 y=-4$ $-5 x+2 y=32$

Graph the system of inequalities. - $x-2 y \leq 2$ $x+y \leq 0$ $Graph the system of inequalities. - x-2 y \leq 2 x+y \leq 0$

Solve the system of equations using Cramer's rule. - $2 \mathrm{x}-\mathrm{y}-2 \mathrm{z}=-16$ x+y-4z=10 x+y-z=15

Evaluate the determinant - $\left|\begin{array}{ll}5 & 2 \\ 7 & 3\end{array}\right|$

Two angles are complementary. The sum of the first angle plus twice the second angle is $153^{\circ}$ . Find the measures of the angles.

Graph the system of inequalities. - $3y - x \leq 9$ $y + 2x \leq 10$ $Y ? 0$ $Graph the system of inequalities. - 3y - x \leq 9 y + 2x \leq 10 Y ? 0$

Solve the system of equations using matrices. - $3 x+3 y+z=-20$ $5 x-3 y-z=12$ $2 \mathrm{x}+\mathrm{y}+5 \mathrm{z}=-17$

Solve the system by graphing. If the system is inconsistent and has no solution, state this. If the system is dependent, write the form of the solution for any real number $x$ . - $4 x+2 y=40$ $-2 x+4 y=20$

A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. Cable $B$ requires 1 black, 2 white, and 1 red. Cable $C$ requires 2 black, 1 white, and 2 red. They used 100 black, 110 white and 80 red wires. How many of each cable were made?