UCSS Math II 3B.5.2 Example 3

Use matrices to solve the following system of equations without using a calculator.
  1. Arrange the equations so that the variables are on the left in alphabetical order and the constant terms are on the right.
  2. Write the system as a matrix equation of the form .
  3. Find the inverse of matrix .
  4. Multiply both sides of the original matrix equation by following the formula .
  5. Multiply the matrices using matrix multiplication.
  6. Simplify the rewritten matrix equation.
  7. State the solution to the system of equations.
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