I assume you have two equations, since more than that might not make sense
so, suppose you have
y = x^2+3x-9
y = 2x-7
then, as you said, set them equal to each other, and you have
x^2+3x-9 = 2x-7
x^2+x-2 = 0
Now just solve that as usual.
How do i solve a set of equations that are set equal to eachother?
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