Solving Systems of Equations Using Substitution

Solve using substitution:

y = -6x + 5

-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

The solution to a system of equations is any ordered pair that makes both equations true. 

• TRUE

• FALSE

What is the solution to this system?

• (-2, -2)

• (2, -2)

• (-2,2)

• (2, 2)

Solve with substitution:

y = -2x + 18

y = 8

• (5, 8)

• (-5, 8)

• (2, 8)

• (-2, 8)

You can solve systems using these methods:

• graphing, substitution, and elimination

• rearranging, thinking, and guessing

• only by graphing

x = -3y - 17

2x + 3y = -7

• (1, -20)

• (10, 0)

• (-5, -2)

• (10 , -9)

3x + 2y = 8

-x + y = -11

• (-5,6)

• (6,-11)

• (-6,-5)

• (6,-5)

What is the solution to the system of equations?

• (3,1)

• (1,3)

• (3,-1)

• (3,-1)

Solve the system of equations.

y = -5x

x + 3y = 28

• (-6, 30)

• (-2, 10)

• (-2, 39)

• No solution

• Infinite solutions

Solve:

y = 8x+1

y = 6x+3

• (1, 9)

• (4, 14)

• (0, 1)

• (1, 4)