Question

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

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

Answer 1

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

`- 4x - 15y = - 17`

`- x + 5y = - 13`
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

`- 4x - 15y = - 17`

`- 4( - x + 5y = - 13)`
simplify and we get

`- 4x - 15y = - 17`

`4x - 20y = 52`
now we can combine like terms on each side with the x's cancelling and get


`- 35y = 35`
now divide off -35

`y = - 1`
great now we can go back to our original system and pick a equation and substitute y back in to find x lets use


`- x + 5y = 13`
so now we substitute y and get

`- x + 5( - 1) = 13`

`- x - 5 = 13`

`- x = 17`

`x = - 17`

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