Find the value of x and y that satisfy the equations `[(3,-2),(3,0),(2,4)] [(y,y),(x,x)]=[(3,3),(3y,3y),(10,10)]`

Explanation

To solve the given matrix equation \(\begin{pmatrix} 3 & -2 \\ 3 & 0 \\ 2 & 4 \end{pmatrix} \begin{pmatrix} y & y \\ x & x \end{pmatrix} = \begin{pmatrix} 3 & 3 \\ 3y & 3y \\ 10 & 10 \end{pmatrix}\), we will perform matrix multiplication and equate the resulting matrices.

### Step 1: Perform Matrix Multiplication
We multiply the two matrices on the left side:

\[ \begin{pmatrix} 3 & -2 \\ 3 & 0 \\ 2 & 4 \end{pmatrix} \begin{pmatrix} y & y \\ x & x \end{pmatrix} \]
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