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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REORDER QUESTION

1 min • 5 pts

Put the steps for solving by SUBSTITUTION in order:

Solve one equation for x or y

Solve for the second variable

Plug that number into the other equation

Plug the resulting expression into the other equation

Solve for the first 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) ).

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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(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) ).