NAME _________________________ DATE ____________ PERIOD _____
SOLVING LINEAR SYSTEMS BY ELIMINATION
SOLVE THE LINEAR SYSTEMS USING ELIMINATION (Classify 7 – 10)
1:
4x + 8y = 20
-4x + 2y = - 30
2:
7x + 2y = 24
8x + 2y = 30
3:
5x + y = 9
10x – 7y = -18
4:
-4x + 9y = 9
x – 3y = -6
5:
-7x – 8y = 9
-4x + 9y = -22
6:
3x – 2y = 2
5x – 5y = 10
7:
5x + 4y = -14
3x + 6y = 6
8: 2x – 3y = -9
4x – 6y = 24
9:
3x – 4y = -8
-6x + 8y = 16
10: -7x – 20y = -14
-2x + 10y = - 4
HA 4-3
11. Solve this system using all three methods.
x + 2y = 3
-x + 2y = -2
A. GRAPHING
Solution = _____________
B. ELIMINATION
Solution = _____________
C. SUBSTITUTION
Solution = _____________
12. At the AMC Theatre, adult tickets are $8 and child tickets are $6 during the matinee.
Last Tuesday, the matinee made $658. The marketing representative determined that
the number of children’s tickets sold were three more than twice the number of adult
tickets sold. Set up and solve a system of equations to determine the number of each
type of ticket sold.
13. What is the value of x in the solution to this system of equations?
3x = 2y + 14
y = -6x + 18