Physics easy double equation...Someone help me??

Question

i'm having trouble with this problem

I don't know why...

please show me the Steps to Solve it?

And what are the answers to X & Y. (in fraction)

Thanks so much. :))

12x - 5y = 27

5x + 3y = 5

Answer 1

12x - 5y = 27

5x + 3y = 5

multiply the first by 3 and the second by 5 and subtract

36x - 15y = 27*3 = 81

25x + 15y = 25

61x = 106

x = 106/61

5(106/61) + 3y = 5

530/61 +3y = 5

3y = 5 - 530/61 = (305 - 530)/61 = -225/61

y = -225 / 183

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