4. 13x + 5y = -11
13x + 11y = 7
Solution:

(-2,3) x= -2 y=3

Step-by-step explanation:

The first thing you should do is convert both into standard y=mx+b form

For the first equation you subtract 5y and add 11 to both sides to get

13x+11= -5y

you divide by negative 5 to get

-13x/5-11/5=y

For the second equation we subtract 11y and 7 from both sides to get

13x-7= -11y

divide both sides by -11 to get

-13x/11 + 7/11

We then set both equations equal to each other and solve for x

-13x/5-11/5= -13x/11 + 7/11

Add 11/5 to both sides to get

-13x/5 = -13x/11 + 156/55

Add 13x/11 to both sides to get

-78/55x=156/55

Divide and solve for x to get -2

Then plug x = -2 into the original equations to find y

13*-2 + 5y = -11

-26 + 5y = -11

Add 26 to both sides

5y= 15

y =3

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