To solve the system of equations:

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

The given equations are:
[2x + y = 8 \quad \text{(1)}]
[3x - y = 7 \quad \text{(2)}]

Add equation (1) and equation (2):
[ (2x + y) + (3x - y) = 8 + 7 ]
[5x = 15]

Step 2: Solve for (x)

[x = \frac{15}{5} = 3]

Step 3: Substitute (x=3) into equation (1) to find (y)

[2(3) + y = 8]
[6 + y = 8]
[y = 8 - 6 = 2]

Answer: (x=3), (y=2)

(\boxed{(3,2)})

作者声明:本文包含人工智能生成内容。