Find the values of x and y that fit both the equation 2x - 3y = 8 − = and 4x + 3y = -2.

Step-by-step explanation:

In other words, solve the system

2x - 3y = 8

4x + 3y = -2

Let's use the method of elimination.  Mult. the first equation by -2:

-4x + 6y = -16

4x  + 3y = -2

         8y = -18, so y = -9/4.     If y = -9/4, then 2x - 3(-9/4) = 8, and:

2x + 27/4 = 8, or

2x + 27/4 = 32/4, or

2x  = 5/4, or

x = 5/8

Then the solution is (5/8, -9/4).

If this does not match any of the possible answer choices, please check to ensure that y ou have copied down this problem correctly.  Where do the "- =" symbols following the '8' come from?

lol.

it's ok we all do this sometimes.

-aparri