Use matrices to solve the following system of equations. [math]\begin{cases} 4x-2y=0 \\ 3x+y=5 \end{cases}[/math]
[list=1] [*]Write the system as an equation of matrices. [*]Find the inverse matrix of the given matrix. [*]Multiply both sides of the equation by the inverse matrix. [*]Multiply the matrices using matrix multiplication. [*]Simplify the equation. [*]State the solution to the system of equations. [/list]