1st times 8 ----> -40x - 72y = 152
2nd times 5 ----> 40x - 35y = -45
- 107y = 107
y = -1
back into 1st:
-5x + 9 = 19
-5x = 10
x = -2
We can solve x or y, so I'll pick y. Let's get rid of x by multiplying the top equation by 8 and the bottom equation by 5:
8(-5x - 9y = 19)
5(8x - 7y = -9)
-40x - 72y = 152
40x - 35y = -45
.... -107y = 107
.........y = -1
I'll let you take it from here to figure out the value of x. Check solutions with the original equations. It always helps to check your work!
I hope this will help get you started.
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