63.2k views
3 votes
-4x-15y=-17
-x+5y=-13

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

User Bilal BBB
by
8.9k points

1 Answer

4 votes
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)
User Builder
by
8.7k points

No related questions found