Systems of Linear Equations Review

Solve the system using the elimination method.

-4x-2y=-12

4x+8y=-24

• (0,6)

• (6,-6)

• (-6,24)

• (-6,0)

Solve using the elimination method.

4x+8y=20

-2x+y= -15

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Solve using the elimination method.

x-y=11

2x+y=19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

Solve using the substitution method (Hint: get a variable by itself first)

2x - y = 0

4x - y = 0

• (1,2)

• (0,0)

• No Solutions

• Infinite Solutions

Solve the following system by graphing (graph it on your paper). What is the solution?

• Infinite number of solutions

• (3, 3)

• (3, -3)

• (-3, 3)

What is the solution?

• (6, 3)
• (3, 6)
• (-6, 3)
• No solution

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

Solve the system of equations using substitution.

• (10, 3)

• (6, 3)

• (15, 3)

• No solution

• Infinite Solution