Answer:
x = 2, y = -3
or
(2, -3)
Step-by-step explanation:
6x + 2y = 6
7x + 3y = 5
multiply the first equation by -3 and the second equation by 2 and solve by elimination
6x + 2y = 6
becomes
-18 - 6y = -18
7x + 3y = 5
becomes
14x + 6y = 10
then, add the new equations.
-18x - 6y = -18
14x + 6y = 10
-4x + 0 = -8
-4x = -8
4x = 8
x = 2
then, substitute x for 2 in one of the eqautions.
6x + 2y = 6
12 + 2y = 6
2y = 6 - 12
2y = -6
y = -3