2X + 5y = - 13

3x - 4y = - 8

You will need to use simultaneous equations.

Method:

First we need to make one set of variable the same, in this case we will:

-Multiply the top equation by 3 to get 6x

-Multiply the bottom equation by 2 to get 6x

The result will be as follows:

1) 2x+5y=-13 x3

1) 6x+15y=-39

2) 3x-4y=-8 x2

2) 6x-8y=-16

Now we will make both equations equal to 6x:

1) 6x=-15y-39

2) 6x=8y-16

Now because they both equal 6x, they therefore equal each other:

-15y-39=8y-16

-23=23y

y=-1

Now that we have y, we can substitute it back into one of the equations to get x:

1) 2x+5 (-1) = -13

2x-5=-13

2x=-8

x=-4