3x-2y=2

5x-5y=10

Elimination method

Add - 5 times the second equation to 2 times the first to get:

10x-10y-15x+10y=20-10

Thus:

-5x=10

Divide by - 5 to get:

x=-2.

Substitute this into the first equation to get:

-6-2y=2

Add 6 to get:

-2y=8

Divide by - 2 to get y=-4.