Question

Solve the system of linear equations by elimination.

3x+2y=3
3x−2y=−9

Answer 1

x=-1, y=3

Explanation:

3x+2y=3

3x-2y=-9

since we have -2y and 2y we can just add the equations

6x=-6

x+0y=-1

x=-1

to solve x using elimination multiply the top equation by -1

-3x-2y= -3

3x-2y=-9

and add

0x-4y=-12

-4y=-12

y=3

and substitute x and y to double; check

3(-1)+2(3)=3

-3+6=3

3=3

checks out so these are correct