1) 2x + 3y = 6
2) 3x + 2y = 5
We can either use substitution or elimination.
Using elimination:
Multiply equation 1) by 3 and multiply equation 2) by 2.
1) 6x + 9y = 18
2) 6x + 4y = 10
Equation 1) - Equation 2)
5y = 8
y = 8/5
Substitue y back into either 1) or 2).
6x + (32/5) = 10
6x = 10 - (32/5)
x = 3/5