What is the first step in solving a system by Substitution?

Make sure at least one equation is solved for one variable.

Make sure both equations are in standard form.

Make sure both equations are in slope-intercept form.

System of Equations Substitution Steps

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

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20 questions

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REORDER QUESTION

1 min • 5 pts

Put the steps for solving by SUBSTITUTION in order:

Plug that number into the other equation

Solve for the first variable

Solve one equation for x or y

Plug the resulting expression into the other equation

Solve for the second variable

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
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(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

FILL IN THE BLANK QUESTION

1 min • 1 pt

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=

(a)

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
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

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

(3,-9)

(-3,-9)

(-3,9)

(0,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Use SUBSTITUTION METHOD
y = 2x + 1
y = 4x - 1

(1,3)

(-1,-3)

(-1,3)

(3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

1 min • 5 pts

solve by substitution: y=3x+14
y=-4x

y=3

y=1

y= - 2

y=4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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System of Equations Substitution Steps

Put the steps for solving by SUBSTITUTION in order:

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(9-3y)-2y =-6
36-12y-2y=-6
36-14y =-6
-14y= (a)
y= (b)

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=

(a)

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

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

Use SUBSTITUTION METHOD
y = 2x + 1
y = 4x - 1

solve by substitution: y=3x+14
y=-4x

Solve the system of linear equations
-3x+ 7y = -9
x = -4.
Use Substitution Method

(a)

What is the solution to the system of linear equations:
-3x + y = -12 and 7x - 6y = 17 ?

Use Substitution Method

(a)

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) ).

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System of Equations Substitution Steps

Put the steps for solving by SUBSTITUTION in order:

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(​9-3y)-2​y =-636-​12y-2y=​-636-​14y =-6-14y=​ (a) y=​ (b)

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

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

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

Use SUBSTITUTION METHOD y = 2x + 1 y = 4x - 1

solve by substitution: y=3x+14y=-4x

Solve the system of linear equations -3x+ 7y = -9 x = -4.Use Substitution Method (a)

What is the solution to the system of linear equations: -3x + y = -12 and 7x - 6y = 17 ?Use Substitution Method (a)

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) ).

Access all questions and much more by creating a free account

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Popular Resources on Wayground

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(9-3y)-2y =-6
36-12y-2y=-6
36-14y =-6
-14y= (a)
y= (b)

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=

(a)

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

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

Use SUBSTITUTION METHOD
y = 2x + 1
y = 4x - 1

solve by substitution: y=3x+14
y=-4x

Solve the system of linear equations
-3x+ 7y = -9
x = -4.
Use Substitution Method

(a)

What is the solution to the system of linear equations:
-3x + y = -12 and 7x - 6y = 17 ?

Use Substitution Method

(a)

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) ).