1. SAT Problem Of the Day

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4. 4.4 Solving Systems with Matrix Equations 4.4 Solving Systems with Matrix Equations Objectives: Use matrices to solve systems of linear equations in mathematical and real-world situations

5. Let x represent the amount invested at 4% x + y = 5000 Example 1 Amy has saved $5000 during the past three summers. Now she wants to put some of the money into an investment that earns 4% per year and some into an investment that earns 11% per year. How much money should Amy invest at each interest rate to earn $500 in interest per year? Step 1: Choose your variables Let y represent the amount invested at 11% Step 2: Write a system of equations.04x +.11y = 500 Step 3: Write the system as a matrix equation, AX = B Step 4: Solve for the variable matrix, X, by finding the product A -1 B $714.29 at 4% and $4285.71 at 11%

6. Example 2 Refer to the system of equations below. a) Write the system as a matrix equation b) Solve the matrix equation x = - 1.8 y = - 0.1 z = - 0.8

7. Example 3 Refer to the system of equations below. a) Write the system as a matrix equation b) Solve the matrix equation

8. Practice Refer to the system of equations below. a) Write the system as a matrix equation b) Solve the matrix equation

9. Homework Worksheet