How do I use matrices to find the solution of the system of equations #y=1/3x+7/3# and #y=−5/4x+11/4#? One way is to use Cramer's Rule. Step 1. Enter your equations. Step 2. Write them in standard form. Step 3. Multiply to get rid of fractions. The left hand side gives us the coefficient matrix. The right hand side gives us the answer matrix. Cramer's Rule says thatThe solution isOur solution is correct.