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 problem, we need to find the values of \( x \) and \( y \) that satisfy the matrix equation:

\[ \begin{pmatrix} 3 & -2 \\ 3 & 0 \\ 2 & 4 \end{pmatrix} \begin{pmatrix} y & y \\ x & x \end{pmatrix} = \begin{pmatrix} 3 & 3 \\ 3y & 3y \\ 10 & 10 \end{pmatrix} \]

### Step 1: Matrix Multiplication
First, we perform the multiplication of the two matrices on the left side.
...