Systems of Linear Equations Substitution Method

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph
• Don't touch
• Intersect
• Exist

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

• Yes

• No

Is the point (-3, -7) a solution to the system of equations below?

y = 4x + 5

y = x – 4

• YES

• NO

What point is a solution to the system of equations below?

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

What is the solution?

• (6, 3)
• (3, 6)
• (-6, 3)
• No solution

Solve by Substitution:

x = -3y - 17

2x + 3y = -7

• (1, -20)

• (3, 0)

• (-5, -2)

• (10 , -9)

Solve by Substitution:

y = -6

-3x - 6y = 24

• (6, 6)

• (6, -6)

• (4, -6)

• (-6, 4)

Solve by Substitution:

y=3x+14

y=-4x

• (2,-8)

• (-14,56)

• (-2,8)

• (8,-2)

Solve the system of equations using substitution:

y = 3x - 8

y = 4 - x

• (3,1)

• (1,3)

• (-3,1)

• (3,-1)