Question

I’m supposed to solve this by eliminating the x variable

I thought I knew how to do these kind of problems but the answer is ( 3, 1 )
I have know idea how that is possible

Answer 1

the answer is (-4, 5)

Explanation:

Let's use elimination by addition / subtraction:

-6x - 2y = 14

6x + 7y = 11

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

5y = 25, so y = 5.

Substituting 5 for y in the 2nd equation, we get:

6x + 7(5) = 11, or:

6x + 35 = 11, or

6x = -24, or x = -4.

Thus, the answer is (-4, 5). Please double check to ensure you have copied down both system of equations and answer correctly.

Check: Is (-4, 5) a solution to this system?

Subst. -4 for x and 5 for y in the first equation:

-3(-4) - (5) = 7

12 - 5 = 7 YES