Lesson on Substitution to Solve Systems of Equations

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

• (6, 6)

• (6, 9)

• (9, 6)

• (9, 9)

Solve the following systems of equations using substitution:

y = 8

y = -4x + 4

• (8, -1)

• (-28, 8)

• (-1, 8)

• (8, -28)

Solve the following systems of equations using substitution:

2x + 8y = 20

y = 2

• (2, 2)

• (-2, 2)

• (2, -2)

• (0, 2)

Solve the following systems of equations using substitution:

x = 5

2x + y = 10

• No solution

• (0, 5)

• (5, 10)

• (5, 0)

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Solve the following systems of equations using substitution:

5x - 2y = 3

y = 2x

• (6, 3)

• (1, 2)

• (3, 6)

• (2, 1)

Solve the following systems of equations using substitution:

2y + x = -15

x = 3y

• (-3, -9)

• (-9, -3)

• (-3, 9)

• (9, -3)

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

• No solution

• (1, 2)

• (3, 0)

• (2, 1)