Question

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.

Answer 1

x = 1

y = -4

Explanation:

We will multiply the 2nd equation by 4 first:

4 * [-x + y = -5]

-4x + 4y = -20

Now we will add this equation with 1st equation given. Shown below:

4x + 3y = -8

-4x + 4y = -20

---------------------

7y = -28

Now, we can solve for y easily:

7y = -28

y = -28/7

y = -4

Now, we take this value of y and put it in 1st original equation and solve for x:

4x + 3y = -8

4x + 3(-4) = -8

4x - 12 = -8

4x = -8 + 12

4x = 4

x = 4/4

x = 1

So, this is the only solution to this problem ( 1 intersection point at x = 1 and y = -4)