How am i supposed to solve this? i know how to do the equations but i don't know why there are only 2 places to put an answer for x and y when there are 2 equations. both equations have an x and a y so that means there are 4 x and y answers.

x=1; y= -4

Step-by-step explanation:

4x+3y= -8    [1]

-x+y= -5       [2]

So here I'm gonna carry on with the elimination method because that is easier to explain with:

In the equation you have to make either x or y of the same value. I'm gonna start with y.

To make y the same, everything in [2] has to be multiplied with 3

so it becomes  

4x+3y= -8

-3x+ 3y= -15

Now to cancel out y we have to subtract the equations:

4x+3y= -8

- (-3x+3y= -15)   the brackets are just to indicate that the whole thing is being subtracted- remember to look at the signs

y is cancelled out

So now it will be:

7x = -8+15

7x=7

x=1

Now use the value of x to figure out y

4x+3y= -8

4(1)+ 3y= -8

3y= -8-4

y= -12/3

y= -4

You could also use this website to help you with more: https://www.mathpapa.com/