Solving Systems of Equations Using Elimination by Multiplication

Solve by elimination:
4x+9y=28
-4x-y=-28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

Solve by elimination
4x-6y= -6
-2x-12y= -12

• (0,1) 

• (1,0)

• (1,1)

• (2,1)

Solve the system by elimination.

−6x + 6y = 0

9x − 8y = 4

• (4, −9)

• Infinite number of solutions

• (−9, 4)

• (4, 4)

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104

• (10, 11)

• (12, 9)

• (11, 10)

• (9, 12)

• (-3, 2)

• (3, 2)

• (-2, 3)

• (2, -3)

• (-5, -9)

• (9, 5)

• (5, 9)

• (-9, -5)

• (4, -2)

• (-2, 4)

• (2, 4)

• (2, -4)

• (-7, -1)

• (1, 7)

• (-1, -7)

• (7, 1)

• (1, 4)

• (4, 1)

• (1, -4)

• (-4, 1)

Solve the system:

x + 6y = 17

-x + 3y = -8

• (5, 2)

• (11, 1)

• (1, 11)

• no solution