`Sol v e :1/(2(2x+3y))+(12)/(7(3x-2y))=1/2` `7/(2x+3y)+4/(3x-2y)=2` where `2x+3y!=0a n d3x-2y!=0.`

Explanation

To solve the system of equations given by:

1. \(\frac{1}{2(2x + 3y)} + \frac{12}{7(3x - 2y)} = \frac{1}{2}\)
2. \(\frac{7}{2x + 3y} + \frac{4}{3x - 2y} = 2\)

we will follow these steps:

### Step 1: Introduce Substitutions
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