Solve. -\[\begin{array} { c } 7 x + 7 y + z = 1 \\ x + 8 y + 8 z = 8 \\ 9 x + y + 9 z = 9 \end{array}\]

A) $( 0,1,0 )$ B) $( 1 , - 1,1 )$ C) $( - 1,1,1 )$ D) $( 0,0,1 )$ A) $( 0,1,0 )$ B) $( 1 , - 1,1 )$ C) $( - 1,1,1 )$ D) $( 0,0,1 )$

Solve. -\[\begin{array} { l } 5 x + 5 y + z = 31 \\ 5 x - 5 y - z = - 11 \\ 2 x + y + 3 z = - 3 \\ ( 2,5 , - 4 ) \end{array}\]

A) Yes B) $\mathrm { No }$ A) Yes B) $\mathrm { No }$

Solve. -\[\begin{array} { l } \frac { 4 } { 3 } x + 5 y - 2 z = 20 \\ 3 x - \frac { 2 } { 3 } y + z = - 21 \\ x - 3 y + 2 z = - 22 \end{array}\]

A) $( - 6,3,2 )$ B) $( - 3,3,1 )$ C) $( - 6,6,1 )$ D) $( - 3,6,2 )$ A) $( - 6,3,2 )$ B) $( - 3,3,1 )$ C) $( - 6,6,1 )$ D) $( - 3,6,2 )$

Determine whether the given ordered pair is a solution to the system of equations. -\[\begin{array} { l } \left( - \frac { 5 } { 2 } , - 3 \right) \\ 4 x + 4 = - 9 - y \\ - 4 x - 4 y = 22 \end{array}\]

A) $\mathrm { No }$ B) $Y e s$ A) $\mathrm { No }$ B) $Y e s$

Exam 4: Systems of Linear Equations and Inequalities

Solve the system by graphing. - x-y=5 x+y=12 $Solve the system by graphing. - \begin{array} { l } \frac { 3 } { 2 } x - \frac { 1 } { 3 } y = 5 \\ \frac { 5 } { 2 } x + \frac { 2 } { 3 } y = 12 \end{array}$

(Multiple Choice)

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Question 21

Solve. - 7x+7y+z=1 x+8y+8z=8 9x+y+9z=9

(Multiple Choice)

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Question 22

Solve. - 5x+5y+z=31 5x-5y-z=-11 2x+y+3z=-3 (2,5,-4)

(Multiple Choice)

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Question 23

Solve. -x + y + z = 1 x - y + 2z = 8 2x + y + z = -2 (5, -1, -3)

(Multiple Choice)

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Question 24

If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why. - 5x+4y=6 8y=12-10x

(Multiple Choice)

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Question 25

Graph the system of inequalities. - 2x+3y\geq6 x-y\leq3 y\leq2 $Graph the system of inequalities. - \begin{array} { l } 2 x + 3 y \geq 6 \\ x - y \leq 3 \\ y \leq 2 \end{array}$

(Multiple Choice)

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Question 26

Solve. - x+5y-2z=20 3x-y+z=-21 x-3y+2z=-22

(Multiple Choice)

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Question 27

Determine whether the given ordered pair is a solution to the system of equations. - -,-3 6x+2=-10-y 2x+2y=-7

(Multiple Choice)

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Question 28

Solve. - x-y+z=-8 x+y+z=0 x+y-z=2 (-1,-3,4)

(Multiple Choice)

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Question 29

Graph the system of inequalities. - 2x+3y\leq6 x-y\geq3 x\geq1 $Graph the system of inequalities. - \begin{array} { l } 2 x + 3 y \leq 6 \\ x - y \geq 3 \\ x \geq 1 \end{array}$

(Multiple Choice)

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Question 30

Graph the system of inequalities. - y\leq4x-2 x+y\geq-2 $Graph the system of inequalities. - \begin{array}{l} y \leq 4 x-2 \\ x+y \geq-2 \end{array}$

(Multiple Choice)

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Question 31

Find the solution to the system of equations. Round the answer to five decimal places - \[\begin{array}{l} x 3 y - 3 z = - 0.41252\\ - x - 3 y + z = - 3.55946\\ 5 x + y - z = 8.177\\

(Multiple Choice)

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Question 32

Use the substitution method to solve the system. -8x + y = 0 -8x + y = -16

(Multiple Choice)

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Question 33

Solve the problem. -The Family Fine Arts Center charges $21 per adult and $10 per senior citizen for its performances. On a recent weekend evening when 486 people paid admission, the total receipts were $6389. How many who paid were Senior citizens?

(Multiple Choice)

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Question 34

Choose the most appropriate method for solving the system of equations. Do not solve. -2x - 3y = 19 -5x + 7y = 28

(Multiple Choice)

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Question 35

Solve the system of equations. If there is no solution to the system, give a reason. -Solve using the substitution method. x+7y=-28 x+8y=-32

(Multiple Choice)

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Question 36

Graph the system of inequalities. - y\geq3x+4 x+y\leq-2 $Graph the system of inequalities. - \begin{array}{l} y \geq 3 x+4 \\ x+y \leq-2 \end{array}$

(Multiple Choice)

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Question 37

Solve the problem. -Kelly is a partner in an Internet-based seed and garden supply business. The company offers a blend of exotic wildflower seeds for $105 per pound and a blend of common wildflower seeds for $15 per pound. Kelly is Creating a medium-price product by mixing together 26 pounds of the more expensive blend with 10 pounds of The less expensive blend. What will be the price per pound for the new blend? (Round to the nearest cent, if Necessary.)

(Multiple Choice)

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Question 38

Determine whether the given ordered pair is a solution to the system of equations. - -,-3 4x+4=-9-y -4x-4y=22

(Multiple Choice)

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Question 39

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

(Multiple Choice)

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Question 40

Showing 21 - 40 of 108

Solve the system by graphing. - x-y=5 x+y=12 $Solve the system by graphing. - \begin{array} { l } \frac { 3 } { 2 } x - \frac { 1 } { 3 } y = 5 \\ \frac { 5 } { 2 } x + \frac { 2 } { 3 } y = 12 \end{array}$

Solve. - 7x+7y+z=1 x+8y+8z=8 9x+y+9z=9

Solve. - 5x+5y+z=31 5x-5y-z=-11 2x+y+3z=-3 (2,5,-4)

Solve. -x + y + z = 1 x - y + 2z = 8 2x + y + z = -2 (5, -1, -3)

If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why. - 5x+4y=6 8y=12-10x

Graph the system of inequalities. - 2x+3y\geq6 x-y\leq3 y\leq2 $Graph the system of inequalities. - \begin{array} { l } 2 x + 3 y \geq 6 \\ x - y \leq 3 \\ y \leq 2 \end{array}$

Solve. - x+5y-2z=20 3x-y+z=-21 x-3y+2z=-22

Determine whether the given ordered pair is a solution to the system of equations. - -,-3 6x+2=-10-y 2x+2y=-7

Solve. - x-y+z=-8 x+y+z=0 x+y-z=2 (-1,-3,4)

Graph the system of inequalities. - 2x+3y\leq6 x-y\geq3 x\geq1 $Graph the system of inequalities. - \begin{array} { l } 2 x + 3 y \leq 6 \\ x - y \geq 3 \\ x \geq 1 \end{array}$

Graph the system of inequalities. - y\leq4x-2 x+y\geq-2 $Graph the system of inequalities. - \begin{array}{l} y \leq 4 x-2 \\ x+y \geq-2 \end{array}$

Find the solution to the system of equations. Round the answer to five decimal places - \[\begin{array}{l} x 3 y - 3 z = - 0.41252\\ - x - 3 y + z = - 3.55946\\ 5 x + y - z = 8.177\\

Use the substitution method to solve the system. -8x + y = 0 -8x + y = -16

Solve the problem. -The Family Fine Arts Center charges $21 per adult and $10 per senior citizen for its performances. On a recent weekend evening when 486 people paid admission, the total receipts were $6389. How many who paid were Senior citizens?

Choose the most appropriate method for solving the system of equations. Do not solve. -2x - 3y = 19 -5x + 7y = 28

Solve the system of equations. If there is no solution to the system, give a reason. -Solve using the substitution method. x+7y=-28 x+8y=-32

Graph the system of inequalities. - y\geq3x+4 x+y\leq-2 $Graph the system of inequalities. - \begin{array}{l} y \geq 3 x+4 \\ x+y \leq-2 \end{array}$

Determine whether the given ordered pair is a solution to the system of equations. - -,-3 4x+4=-9-y -4x-4y=22

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

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