Systems: Substitution Method

Two linear functions are graphed. If this is the graph of two linear functions, how many solutions will this system have?

• No Solutions

• Infinitely Many Solutions

• Two Solutions

• One solution

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

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

Solve the system of equations using substitution:
-4x + 4y = 8
y = -2x - 10

• (-4, -2)
• (12, -34)
• (4, -18)
• (-2, -6)

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

What is the solution to the system of equations?

y = 3x − 8

y = 4 − x

• (3,1)

• (1,3)

• (-3,1)

• (3,-1)

Solve:
x = -3y - 17
2x + 3y = -7

• (1, -20)
• (3, 0)
• (-5, -2)
• (10 , -9)

Solve:

y = -6

-3x − 6y = 24

• (6, 6)

• (6, -6)

• (4, -6)

• (-6, 4)

Solve:
y = 7x + 7
2y + 2x = -18

• (5, 0)
• (9, 18)
• (-2, -7)
• (1, 16)

Solve:
x = -3y - 17
2x + 3y = -7

• (1, -20)
• (3, 0)
• (-5, -2)
• (10 , -9)

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

• (-3, -25)
• (3,-7)
• (11, 17)
• (21, 47)