Identify the solution (s) of the system of equations, if any.

x+3y=5
6x-6y=14

a. (3,3/2)
b.(3,2/3)
c.(3/2,3)
d. (2/3,3)

Multiply Eq1 by -6:

-6x - 18y = -30
+6x - 6y = 14
Add the Eqs:
-24y = -16
Y = 2/3.

In Eq1, replace Y with 2/3:
x + 3*2/3 = 5
x + 2 = 5
X = 3.