Substitution Method Systems of Equations

Solve the system of equations.

• (-6, 30)

• (-2, 10)

• (44, 39)

• No solution

• Infinite solutions

Solve the system of equations.

• (3, -24)

• (0, 4)

• (-24, 3)

• No solution

• Infinite solutions

What is the solution to this system?
y = x + 5
4x + y = 20

• (3,8)

• (8,3)

• (0,2)

• (2,0)

What is the solution to this system?
y = 4x + 1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• (-1,5)

What is the solution to this system?
x - y = 6
y= 2x - 5

• (1,3)

• (-1,3)

• (-1,-7)

• (1,-7)

Solve the system by substitution. 
y = 2x − 11 
2x − 8y = 4 

•  (6, 1)

• (6, −4)

• (6, −1)

• Infinite number of solutions  

Using the substitution method, what would you write in the parentheses to start solving this system?

True or False: The graph and solution in this image match.

• True

• False

The first step in solving using the substitution method is __________.

• get x by itself

• get y by itself

• get either variable by itself

• add the equations together

Solve the system by substitution. 
-2x - 2y = 16
y = -8

• (0, -8)

• (-8, 0)

• (-16, -8)

• (-16, -8)