It's linear equations by elimination

Question

4x-2y=-18

3x+2y=11

Answer 1

Add the equations together to eliminate y:

 

4x - 2y = -18
3x + 2y = 11

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

7x          = -7

 

x = -1

 

Back-substitute:

 

-3 + 2y = 11

 

2y = 14

 

y = 7

 

If you don't want to back-substitute and do pure elimination, that's fine. Then just subtract 4 times the second equation from 3 times the first.

 

12x - 6y = -54
12x + 8y = 44

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

      -14y = -98

 

y = 7

 

Either way, the solution is (-1,7).