When using any of the 3 methods to solve a system of linear equations the resulting solution is the same no matter which method is used.

True; using any method will result in the correct solution.

False; the solution varies because the solution depends on which method is used.

Solving Systems with Substitution Review

8th Grade

•

15 Qs

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Solving Systems with Substitution Review

Quiz

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.C.8B, HSA.REI.C.9, HSA.CED.A.3

Standards-aligned

Anthony Clark

FREE Resource

15 questions

Show all answers

DRAG AND DROP QUESTION

1 min • 5 pts

In this system
x+3y=9
4x-2y=-6
it'll be easiest to start by solving the first equation for x.
The result of doing so is x=9-3y.
Fill in the blanks to plug that expression in and solve for y:
4( (a) )-2 (b) =-6
36- (c) y-2y= (d)
36- (e) =-6

9-3y

-6

14y

10y

x+3y

24y

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

DRAG AND DROP QUESTION

1 min • 2 pts

In this system x+3y=9 it'll be easiest to start by solving the first equation for x. The result of doing so is x=9-3y. Fill in the blanks to plug that expression in and solve for y: 4(9-3y)-2y =-6 36-12y-2y=-6 36-14y =-6 -14y= (a) y= (b)

-42

-3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

DRAG AND DROP QUESTION

1 min • 2 pts

What is the solution to the system of equations?
4x-y=3
3x+y=4
( (a) , (b) )

Tags

CCSS.HSA.REI.C.9

FILL IN THE BLANK QUESTION

1 min • 1 pt

In this system
x+3y=9
4x-2y=-6
it'll be easiest to start by solving the first equation for x.
The result of doing so is x=

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

DRAG AND DROP QUESTION

1 min • 5 pts

In this system
x+3y=9
4x-2y=-6
we have figured out that x=9-3y, and y=3.
Complete the steps to solve for x:
x=9-3( (a) )
x=9- (b)
x= (c)
The solution to the system is ( (d) , (e) ).

y=3

-9

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

DRAG AND DROP QUESTION

1 min • 4 pts

Consider the system:
4x+3y=-1
5x+4y=1
Which we converted to:
16 x + 12y=-4
-15x - 12y= -3
Combining the equations straight down gives us:
(a) x+ (b) y= (c)
Solving for x, we get x= (d)

-7

-1

-12

-3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

DRAG AND DROP QUESTION

1 min • 5 pts

Consider the system:
4x+3y=-1
5x+4y=1
Since we now know that x=-7, solve for y:
4( (a) )+3y=-1
(b) +3y=-1
(c) = (d)
y= (e)

-7

-28

-12

Tags

CCSS.HSA.REI.C.9

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Solving Systems with Substitution Review

15 questions

In this system
x+3y=9
4x-2y=-6
it'll be easiest to start by solving the first equation for x.
The result of doing so is x=9-3y.
Fill in the blanks to plug that expression in and solve for y:
4( (a) )-2 (b) =-6
36- (c) y-2y= (d)
36- (e) =-6

In this system x+3y=9 it'll be easiest to start by solving the first equation for x. The result of doing so is x=9-3y. Fill in the blanks to plug that expression in and solve for y: 4(9-3y)-2y =-6 36-12y-2y=-6 36-14y =-6 -14y= (a) y= (b)

What is the solution to the system of equations?
4x-y=3
3x+y=4
( (a) , (b) )

In this system
x+3y=9
4x-2y=-6
it'll be easiest to start by solving the first equation for x.
The result of doing so is x=

In this system
x+3y=9
4x-2y=-6
we have figured out that x=9-3y, and y=3.
Complete the steps to solve for x:
x=9-3( (a) )
x=9- (b)
x= (c)
The solution to the system is ( (d) , (e) ).

Consider the system:
4x+3y=-1
5x+4y=1
Which we converted to:
16 x + 12y=-4
-15x - 12y= -3
Combining the equations straight down gives us:
(a) x+ (b) y= (c)
Solving for x, we get x= (d)

Consider the system:
4x+3y=-1
5x+4y=1
Since we now know that x=-7, solve for y:
4( (a) )+3y=-1
(b) +3y=-1
(c) = (d)
y= (e)

a method of solving a system of equations by taking a variable out and replacing it with an expression.

What is the solution to this system of equations? Solve by substitution or graphing.

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

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Solving Systems with Substitution Review

15 questions

In this systemx+3y=94x-2y=-6it'll be easiest to start by solving the first equation for x.The result of doing so is x=​9-3y.Fill in the blanks to plug that expression in and solve for y:4(​ (a) )-2​ (b) =-636-​ (c) y-2y=​ (d) 36-​ (e) =-6

In this system x+3y=9 it'll be easiest to start by solving the first equation for x. The result of doing so is x=​9-3y. Fill in the blanks to plug that expression in and solve for y: 4(​9-3y)-2​y =-6 36-​12y-2y=​-6 36-​14y =-6 -14y=​ (a) y=​ (b)

What is the solution to the system of equations?4x-y=33x+y=4(​ (a) ,​ (b) )

In this systemx+3y=94x-2y=-6it'll be easiest to start by solving the first equation for x.The result of doing so is x=​

In this systemx+3y=94x-2y=-6we have figured out that x=9-3y, and y=3.Complete the steps to solve for x:x=9-3(​ (a) )x=9-​ (b) x=​ (c) The solution to the system is (​ (d) ,​ (e) ).

Consider the system:4x+3y=-15x+4y=1Which we converted to:16 x +​ 12y=​-4-15x -​ 12y= -3Combining the equations straight down gives us:​ (a) x+​ (b) y=​ (c) Solving for x, we get x=​ (d)

Consider the system:4x+3y=-15x+4y=1Since we now know that x=-7, solve for y:4(​ (a) )+3y=-1​ (b) +3y=-1​ (c) =​ (d) y=​ (e)

a method of solving a system of equations by taking a variable out and replacing it with an expression.

What is the solution to this system of equations? Solve by substitution or graphing.

What is the solution to this system? Solve by substitution.y= 4x + 32x - 3y = 21

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Discover more resources for Mathematics

In this system
x+3y=9
4x-2y=-6
it'll be easiest to start by solving the first equation for x.
The result of doing so is x=9-3y.
Fill in the blanks to plug that expression in and solve for y:
4( (a) )-2 (b) =-6
36- (c) y-2y= (d)
36- (e) =-6

In this system x+3y=9 it'll be easiest to start by solving the first equation for x. The result of doing so is x=9-3y. Fill in the blanks to plug that expression in and solve for y: 4(9-3y)-2y =-6 36-12y-2y=-6 36-14y =-6 -14y= (a) y= (b)

What is the solution to the system of equations?
4x-y=3
3x+y=4
( (a) , (b) )

In this system
x+3y=9
4x-2y=-6
it'll be easiest to start by solving the first equation for x.
The result of doing so is x=

In this system
x+3y=9
4x-2y=-6
we have figured out that x=9-3y, and y=3.
Complete the steps to solve for x:
x=9-3( (a) )
x=9- (b)
x= (c)
The solution to the system is ( (d) , (e) ).

Consider the system:
4x+3y=-1
5x+4y=1
Which we converted to:
16 x + 12y=-4
-15x - 12y= -3
Combining the equations straight down gives us:
(a) x+ (b) y= (c)
Solving for x, we get x= (d)

Consider the system:
4x+3y=-1
5x+4y=1
Since we now know that x=-7, solve for y:
4( (a) )+3y=-1
(b) +3y=-1
(c) = (d)
y= (e)

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21