Answer:
y = 2
Explanation:
3x + 5y = 1
7x + 4y = −13
We will use the elimination method to eliminate the x variable. Then we will solve for y. We need the coefficients of the x-terms in the two equations to be additive inverses, so they will add to zero, eliminating x.
Multiply both sides of the first equation by -7, and multiply both sides of the second equation by 3.
-21x - 35y = -7
21x + 12y = -39
Now add the equations to eliminate x.
-23y = -46
Divide both sides by -23.
y = 2