As listed above, others used substitution, but you can use elimination as another way to solve it
Using substitution is easiest because it already tells you what y is in terms of x
Elimination:
We try to subtract/add the two sentences to remove the extra variable
I can multiply 3x+2y=8 by 4 to get 12x+8y=32
I can them multiply y=4x-7 by 3 to get 3y=12x-21
Now by subtracting these two sentences I can remove the x value
After I get rid of my x value, the y variable will be the only variable left, where we can now solve the Algebra equation.