Solve each system using elimination.

1.) 5x - y=0
3x + y=24

2.) 3x + 3y =27
x - 3y =-11

3.) 6x +4y =42
-3x + 3y =-6

3 answers

5x - y = 0
3x + y = 24

8x = 24
x = 3

5(3) - y = 0
15 - y = 0
15-15 - y = 0 -15
-y = -15
y = 15
( 3, 15)
2)
3x +3y = 27
x - 3y = -11
4x = 16
x = 4
4 - 3y = -11
4-4 - 3y = -11 -4
-3y = -15
y = 5
(4, 5)
3)
6x + 4y = 42
2(-3x + 6y = -6)

6x + 4y = 42
-6x + 6y = -12
10y = 30
y = 3
-3x + 3(3) = -6
-3x +9 = -6
-3x + 9 -9 = -6 - 9
- 3x = -15
x = 5
(5, 3)

Thanks!

you're welcome.