Solving Systems of Equations by Substitution Method

Find the y-value using substitution.

x + 2y = 2

x = -4y + 2

• y = -3

• y = 2

• y = -2

• y = 0

Solve using substitution.

y = -6x + 5

-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

Solve using substitution.

y = -3x + 11

5x + y = 21

• (1, -5)

• (1, 5)

• (-4, 5)

• (5, -4)

Solve using substitution.

x = -3y - 8

x - 2y = -3

• (5, -1)

• (-5, 1)

• (-5,-1)

• (1,-5)

Solve using substitution.

y = -2x + 18

x = 5

• (5, 8)

• (-5, 8)

• (2, 8)

• (-2, 8)

Solve the system of equations using substitution:

y = 2x + 5

2x + 2y = 4

• (1, 7)

• (7, 1)

• (2, 9)

• (-1, 3)

How many solutions? (click on the graph to enlarge)

• One Solution

• No solution

• Infinitely Many Solutions

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Which answer choice substituted correctly?

x = 3y - 17

2x + 3y = -7

What is the solution to this system of equations? (click on the graph to enlarge)

• (4, -1)

• (-1, 4)

• (-4, 1)

• (-4, -1)