Solve the system of equations by substitution. y = 4 x + 1 y=4x+1 y = 4 x + 1 4 x − y = 7 4x-y=7 4 x − y = 7 What is the solution?

( 2 , 1 ) \left(2,1\right) ( 2 , 1 )

( 2 , 9 ) \left(2,9\right) ( 2 , 9 )

Solve the system of equations by substitution. x = 2 y − 5 x=2y-5 x = 2 y − 5 − 4 x + 4 y = 0 -4x+4y=0 − 4 x + 4 y = 0 What is the solution?

( 5 , 5 ) \left(5,5\right) ( 5 , 5 )

( − 5 , 0 ) \left(-5,0\right) ( − 5 , 0 )

Solve the system of equations by elimination. x + y = 8 x+y=8 x + y = 8 x − y = − 2 x-y=-2 x − y = − 2 What is the solution?

( 3 , 5 ) \left(3,5\right) ( 3 , 5 )

( 2 , 6 ) \left(2,6\right) ( 2 , 6 )

Solve the system of equations by elimination. 2 x − y = 16 2x-y=16 2 x − y = 1 6 5 x + 3 y = − 4 5x+3y=-4 5 x + 3 y = − 4 What is the solution?

( 4 , − 8 ) \left(4,-8\right) ( 4 , − 8 )

( 2 , − 12 ) \left(2,-12\right) ( 2 , − 1 2 )

Solve the system of equations using any method. y = − 1 3 x + 4 y=-\frac{1}{3}x+4 y = − 3 1 x + 4 x = − 3 x=-3 x = − 3 What is the solution?

( − 3 , 5 ) \left(-3,5\right) ( − 3 , 5 )

( − 3 , 2 ) \left(-3,2\right) ( − 3 , 2 )

Solve the system of equations using any method. y = 1 y=1 y = 1 y = − 1 y=-1 y = − 1 What is the solution?

( − 3 , 1 ) \left(-3,1\right) ( − 3 , 1 )

( 2 , − 1 ) \left(2,-1\right) ( 2 , − 1 )

The difference of two numbers is 3. Their sum is 13. Find the numbers.

( 8 , 5 ) \left(8,5\right) ( 8 , 5 )

( 5 , 8 ) \left(5,8\right) ( 5 , 8 )

( 10 , 7 ) \left(10,7\right) ( 1 0 , 7 )

( 7 , 10 ) \left(7,10\right) ( 7 , 1 0 )

Olivia's school is selling tickets for an online virtual concert. On the first day of ticket sales the school sold 9 adult tickets and 3 child tickets for a total of $75. The school took in $67 on the second day by selling 5 adult tickets and 8 child tickets. What is the price of one adult ticket and one child ticket?

1 Adult ticket costs $7, 1 Child ticket costs $4

1 Adult ticket costs $5, 1 Child ticket costs $10

1 Adult ticket costs $10, 1 Child ticket costs $5

1 Adult ticket costs $4, 1 Child ticket costs $7

Erica and Charlotte are both selling boxes of cookies. Although Erica has already sold 5 boxes, Charlotte hasn't sold any yet. If Erica starts selling 5 boxes per day and Charlotte begins selling 6 tubs per day, they will eventually sell the same amount of cookie dough. How many days will that take? How many tubs will each sell?

In 5 days, each will sell 30 boxes of cookies.

In 2 days, each will sell 15 boxes of cookies.

In 4 days, each will sell 24 boxes of cookies.

In 7 days, each will sell 40 boxes of cookies.

Solving Systems of Linear Equations

Authored by Danielle Mason

Mathematics

9th - 12th Grade

CCSS covered

Used 35+ times

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15 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the best method for solving this system of linear equations?

$x+y=5$
$2x-y=4$

Graphing

Substitution

Elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE SELECT QUESTION

45 sec • 1 pt

What is the best method for solving this system of linear equations?

$y=2x+2$
$y=-x+5$

Graphing

Substitution

Elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the best method for solving this system of linear equations?

$x=2y$
$2x-3y=5$

Graphing

Substitution

Elimination

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the solution of the system of equations shown in the graph? Write your answer as an ordered pair.

$\left(1,2\right)$

$\left(-2,-3\right)$

Infinitely many solutions

No solution

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the solution of the system of equations shown in the graph? Write your answer as an ordered pair.

$\left(2,0\right)$

$\left(0,4\right)$

Infinitely many solutions

No solution

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the solution of the system of equations shown in the graph? Write your answer as an ordered pair.

$\left(1,0\right)$

$\left(-3,-2\right)$

Infinitely many solutions

No solution

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the system of equations by substitution.

$y=4x+1$
$4x-y=7$

What is the solution?

$\left(2,1\right)$

$\left(2,9\right)$

Infinitely many solutions

No solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the system of equations by substitution.

$x=2y-5$
$-4x+4y=0$

What is the solution?

$\left(-5,0\right)$

$\left(5,5\right)$

Infinitely many solutions

No solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the system of equations by elimination.

$x+y=8$
$x-y=-2$

What is the solution?

$\left(3,5\right)$

$\left(2,6\right)$

Infinitely many solutions

No solution

Tags

CCSS.8.EE.C.8B

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the system of equations by elimination.

$2x-y=16$
$5x+3y=-4$

What is the solution?

$\left(4,-8\right)$

$\left(2,-12\right)$

Infinitely many solutions

No solution

Tags

CCSS.8.EE.C.8B

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Solving Systems of Linear Equations

What is the best method for solving this system of linear equations? x+y=5x+y=5x+y=5 2x−y=42x-y=42x−y=4

What is the best method for solving this system of linear equations? y=2x+2y=2x+2y=2x+2 y=−x+5y=-x+5y=−x+5

What is the best method for solving this system of linear equations? x=2yx=2yx=2y 2x−3y=52x-3y=52x−3y=5

What is the solution of the system of equations shown in the graph? Write your answer as an ordered pair.

What is the solution of the system of equations shown in the graph? Write your answer as an ordered pair.

What is the solution of the system of equations shown in the graph? Write your answer as an ordered pair.

Solve the system of equations by substitution. y=4x+1y=4x+1y=4x+1 4x−y=74x-y=74x−y=7 What is the solution?

Solve the system of equations by substitution. x=2y−5x=2y-5x=2y−5 −4x+4y=0-4x+4y=0−4x+4y=0 What is the solution?

Solve the system of equations by elimination. x+y=8x+y=8x+y=8 x−y=−2x-y=-2x−y=−2 What is the solution?

Solve the system of equations by elimination. 2x−y=162x-y=162x−y=16 5x+3y=−45x+3y=-45x+3y=−4 What is the solution?

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Popular Resources on Wayground

Discover more resources for Mathematics

What is the best method for solving this system of linear equations?

$x+y=5$
$2x-y=4$

What is the best method for solving this system of linear equations?

$y=2x+2$
$y=-x+5$

What is the best method for solving this system of linear equations?

$x=2y$
$2x-3y=5$

Solve the system of equations by substitution.

$y=4x+1$
$4x-y=7$

What is the solution?

Solve the system of equations by substitution.

$x=2y-5$
$-4x+4y=0$

What is the solution?

Solve the system of equations by elimination.

$x+y=8$
$x-y=-2$

What is the solution?

Solve the system of equations by elimination.

$2x-y=16$
$5x+3y=-4$

What is the solution?