With the substitution method you solve for one variable, for ex. "x", and then substitute that expression for "x" into the second equation to find "y":

-2x+5y=12

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Click here to see the step by step solution for 'x'

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Now, plug the above expression into:

8x-10y=-24

and solve for 'y'

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Click here to see the step by step solution for 'y'

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y = -2/5

Now, we can find "x":

x = -((-5)*(-2/5)+12)/2

x = -7