Question

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Answer 1

There are several ways you can go about solving this.

You might start by multiplying the whole first equation by 3...
5x + 3y = 7
*3
15x + 9y = 21

Then do the same thing on equation 2, but multiply it all by 5.
3x - 5y = -23
*5
15x - 25y = -115

Now you have 2 equations that both have "15x" in them:
15x + 9y = 21
15x - 25y = -115

Subtract the 2nd from the first:
15x +9y - (15x - 25y) = 21 - (-115)
34y = 136

And then you can divide by 34 to solve for y.

Answer 2

Multiply top by 5(5x+3y =7) = 25x +15y = 35
bottom by 3(3x-5y=-23) =9x -15y = -69
now add 34x = -34

Answer 3

you guys are lifesavers!