Use matrices to solve the following system of equations without using a calculator. [math]\begin{cases} 8x + 8 = 4y \\ 3y = –5x + 28 \end{cases}[/math]
[list=1] [*]Arrange the equations so that the variables are on the left in alphabetical order and the constant terms are on the right. [*]Write the system as a matrix equation of the form [math]AX = B[/math]. [*]Find the inverse of matrix [math]A[/math]. [*]Multiply both sides of the original matrix equation by [math]A^{–1}[/math] following the formula [math]A^{–1}AX = A^{–1}B[/math]. [*]Multiply the matrices using matrix multiplication. [*]Simplify the rewritten matrix equation. [*]State the solution to the system of equations. [/list]