Systems With Substitution

Solve with substitution

x = -3y - 8

x - 2y = -3

• (5, -1)

• (-5, 1)

• (-5,-1)

• (1,-5)

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Solve the system of equations by substitution.
y = -4x + 5
y =  3x - 16

• (-3, -25)

• (3,-7)

• (11, 17)

• (21, 47)

Solve the following systems of equations using substitution:

2y + x = -15

x = 3y

• (-3, -9)

• (-9, -3)

• (-3, 9)

• (9, -3)

Solve by substitution method:

7x + y = -9

y = -3x - 5

• No solution

• (1, 8)

• (-2, -3)

• (-1, -2)

Find the solution to the system of equations:
3x + 2y = 16
y = -7x + 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve the following systems of equations using substitution:

y = 8

y = -4x + 4

• (8, -1)

• (-28, 8)

• (-1, 8)

• (8, -28)

Which is the best method to use?

y = 6x − 11

−2x − 3y = −7

• Graphing

• Substitution because a variable is isolated.

• Elimination because both equations are in standard form.

Solve this system by substitution.

• (1, -4)

• (1, 4)

• (-4, -7)

• (-7, -4)

Solve the system of equations. x + 2y = -3

y = x + 12

• (-9, 3)

• (-7 ,5)

• (3, 15)

• (9, 6)