SAT Problem Of the Day. Do Now Do Now 4.4 Solving Systems with Matrix Equations 4.4 Solving Systems with Matrix Equations Objectives: Use matrices to.

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Presentation transcript:

SAT Problem Of the Day

Do Now

Do Now

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

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 $ at 4% and $ at 11%

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

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

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

Homework Worksheet