Solve Systems by Substitution When Need to Get Variable by Itself

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)