SOLUTION: Solve the system by the addition method: 6x+3y=51 2x-6y=38 Thank you

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Question 375246: Solve the system by the addition method:
6x+3y=51
2x-6y=38
Thank you
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply the top equation by 2: 12x + 6y = 102.
Add corresponding sides with the bottom equation: 2x-6y = 38;
14x = 140, or x = 10.
Then multiply the bottom eqn by -3: -6x+18y = -114.
Addc corresponding sides with the top equation: 6x + 3y = 51.
21y = -63, or y = -3.