Solving Systems by Substitution or Graphing

What is the solution to this system?
y = x + 5
4x + y = 20

• (3,8)

• (8,3)

• (0,2)

• (2,0)

What is the solution to this system?
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x

• (3,1)

• (1,3)

• (-3,1)

• (3,-1)

What is the solution to the system?
2x - 2y = 2
y = -5x + 14

• (4, 5)

• (2.5, 1.5)

• (1.5, 5)

• (1, 2.25)

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:

x = 6

y = 2x - 3

• (6, 6)

• (6, 9)

• (9, 6)

• (9, 9)

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

The first step in solving using the substitution method is __________.

• get x by itself

• get y by itself

• get either variable by itself

• add the equations together

Solve the following systems of equations using substitution:

2y + x = -15

x = 3y

• (-3, -9)

• (-9, -3)

• (-3, 9)

• (9, -3)

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)