4x-15y=-17-x+5y=-13

To solve this system of linear equations we need a little trick called elimination steps are below

we are given the following system of equations


if you look at the x variables in both equations you can see that we can easily eliminate them by multiplying the bottom equation by -4 as so


simplify and we get


now we can combine like terms on each side with the x's cancelling and get


now divide off -35

great now we can go back to our original system and pick a equation and substitute y back in to find x lets use


so now we substitute y and get





now we put x and y into one coordinate (x,y)
so now our FINAL ANSWER IS
(-17,-1)