Solving Systems of Linear Equations

Solve using elimination.
-4x - 6y = 6
4x + 6y = -4

• no solution

• (2,0)

• (-4,0)

• (0,0)

Solve the following system using any method.

y = 2/3x - 2

y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Solve the following system using any method.

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

• y = 6.80 + .65x
  y=7.30+.90x

• x + y = 6.80
  x + y = 7.30

• y = 6.80+.90x
  y = 7.30 + .65x

• y + .90x = 6.80
  y + .65x = 7.30

Solve the following system using any method.

y=-x+4

y=2x+4

• (0,4)

• (2,4)

• (-1,3)

• (4,0)

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

This system has _____ solutions

• 0

• 1

• 2

• Infinitely many

Solve this system by substitution.

• (1, -4)

• (1, 4)

• (-4, -7)

• (-7, -4)

What variable do you eliminate, and what do you multiply the equation(s) by?

• You eliminate x, and multiply the top equation by 11

• You eliminate y, and multiply the top equation by 7

Solve using elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4)