Question

Find the solution to the system of 5x+2y=-24 x-y=5

Answer 1

5x + 2y = -24 ⇒ 5x + 2y = -24
1x - 1y = 5 ⇒ 2x - 2y = 10
7x = -14
7 7
x = -2
x - y = 5
-2 - y = 5
+ 2 + 2
-y = 7
-1 -1
y = -7
(x, y) = (-2, -7)

Answer 2

So to do this, we have to get rid of one of the variables by adding or subtracting the two equations together.
I will get rid of y. So, we can multiply the second equation by 2. This gives us
2x-2y=10
Now, we can add both equations
This gives us 7x=-14
Therefore, x = -2
Plug that into another equation.
-10 + 2y=-24
Therefore, y = -7

Hope this helped!! :D