Question 85679
Note that the slopes of these equations are 1 and 3/2. Since they are different, the system is independent. Use a linear combination to solve for one of the variables:

2(x - y = 3)  -->  2x - 2y =  6
3x - 2y = 3   --> -3x + 2y = -3

-x = -3
x = 3

(3) - y = 3  [using the 1st. equation]
y = 0
Solution is (3 , 0)