Find the value of `x` and `y` from the following: `[(2x,-y),(5, 3y)]=[(6, 5 ),(3,-2)]`

Explanation

To solve the matrix equation \(\begin{pmatrix} 2x & -y \\ 5 & 3y \end{pmatrix} = \begin{pmatrix} 6 & 5 \\ 3 & -2 \end{pmatrix}\), we need to equate the corresponding elements of the two matrices.

### Step 1: Set up the equations
From the given matrices, we can equate the corresponding elements:

1. \(2x = 6\) (from the first row, first column)
2. \(-y = 5\) (from the first row, second column)
3. \(5 = 3\) (from the second row, first column, which is always true)
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