To solve the system of equations:

Step 1: Eliminate (y) by adding the two equations

Given:
[2x + y = 3 \quad \text{(Equation 1)}]
[3x - y = 2 \quad \text{(Equation 2)}]

Add Equation 1 and Equation 2:
[ (2x + y) + (3x - y) = 3 + 2 ]
[5x = 5]
[x = 1]

Step 2: Substitute (x = 1) into Equation 1 to find (y)

[2(1) + y = 3]
[2 + y = 3]
[y = 1]

Answer: (x = 1), (y = 1)

(\boxed{x=1, y=1})

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