Systems of Equations - Substitution

Substituting Expressions

100

2x+4y=10

y=3x-1

2x+4(3x-1)=10

200

2x+4y=10

x=y-1

2(y-1)+4y=10

300

x-y=12

x=2y+24

2y+24-y=12

400

3x-y=11

y=5x-17

3x-(5x-17)=11

500

-x+3y=7

x=-2y+2

-(-2y+2)+3y=7

Isolating Variables

100

Isolate a Variable

 2x+y=4 

y=4-2x

200

Isolate a Variable

 x-7y=17 

x=17+7y

300

Isolate a Variable

x-y=-1

x=-1-y

400

Isolate a Variable

 2x+4y=4 

x=2-2y

y=1-1/2x

500

Isolate a Variable

 3x+4y=5 

y=5/4-3/4x

x=5/3-4/3y

Solving Systems using Substitution

100

Solve the System of Equations. Write your answer as an ordered pair.

x=8

y=x+1 

(8,9)

200

Solve the System of Equations. Write your answer as an ordered pair.

 y=2x-3

3x-3y=3 

(2,1)

300

Solve the System of Equations. Write your answer as an ordered pair.

13x+y=14

3x-5y=-2

(1,1)

400

Solve the System of Equations. Write your answer as an ordered pair.

4x+2y=8

2x+y=5

No Solution

500

Solve the System of Equations. Write your answer as an ordered pair.

-x-y=-1

-2x+y=31

(-10,11)