Question

Solve by elimination
2x - 6y = 12
-5x + 15 = -30

Answer 1

x = 9

y = 1

Explanation:

-5x + 15 = -30

-5x = -45

2x - 6y = 12

-5x = -45

Time the first equation by 2.5

5x - 15y = 30

-5x = -45

-15y = -15

y = 1

Now put 1 back in for y and solve for x

2x - 6(1) = 12

2x -6 = 12

2x = 18

x = 9

Let's check

2(9) - 6(1) = 12

18 - 6 = 12

12 = 12

So, x = 9 and y = 1 is the correct answer.