Solve by whatever method you would prefer. (Leave answers as improper fractions)

Question

3x + 2y = -10
2x – 5y = 3
Can someone give step by step?

Answer 1

I would choose elimination:

first one times 2 ---> 6x + 4y = -20
2nd times 3 -------> 6x - 15y = 9
subtract them:
19y = -29
y = -29/19

back into the original first:
3x - 58/19 = -10
3x = 58/19-10 = -132/19
x = -44/19