Question

What is the value of the y variable in the solution to the following system of equations?
5x + 3y = 7
3x - 5y = -23

Answer 1

The first thing you want to do is multiply the two equations so the coefficient of y are the same. I like to eliminate variable when working with system of equations. but you can also do it a different way.

Answer 2

So if you multiply the top equation by 5 and the bottom equation by 3, you should get this:

Answer 3

\[25x +15y=7\]
\[9x-15y=-69\]

Answer 4

Do you know how to do the rest?