Exam 4: Systems of Linear Equations

A company that manufactures gas grills sells their lowest-end grill for . It costs to manufacture each grill and the company has an overhead cost of per month. -Find the grill-manufacturer's revenue at the break-even point.

Use row operations to change the first entry in the second row to 0. Rewrite the matrix

Use elimination to solve the system of equations. -

The graph represents the system of equations . Solve the system by graphing.

Sally and Harry go to a fast food restaurant for breakfast. Sally ordered Sausage biscuit sandwiches and Orange juice. Her meal contained Grams of carbohydrates. Harry ordered Sausage biscuit sandwiches and Orange juices and his meal contained Grams of carbohydrates. How many carbohydrates are in the each sausage biscuit and in each orange juice?

The matrix represents a system of equations in reduced row echelon form. Identify the solution of the system of equations.

An investor has $48,000. She wants to put twice as much in bonds as she puts in stocks. The amount invested in bonds is . The amount invested in stocks is . A model of this situation is . Find the amount to put in each investment.

Solve the system of equations By graphing.

An investor can invest at most $20,000 in a retirement plan. He wants to place at least $5000 in Treasury Notes yielding 5% and more than $14,000 in corporate bonds yielding 8%. He also wants to earn $1420 annually. Let the amount invested in Treasury Notes and the amount invested in corporate bonds. -Estimate the vertices of the feasible region.

Use elimination to solve the system of equations. -

Miley is shifting her credit card debt. She has a total of $2292 in debt, and she wants three times as much debt on her Visa as on her Master Card. How much debt will she have on each credit card?

Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form. -

Solve the equation For the variable

Represent the system of equations with an augmented matrix. Solve the system by rewriting the matrix in reduced row echelon form. -

The cost of 5 deli sandwiches and 7 small salads is . The cost of 6 deli sandwiches and 4 small salads is . Find the cost of the deli sandwich and the small salad.

The owner of a coffee shop is making a special blend of coffee that combines Ethiopian beans that sell for Per pound and Guatemalan beans that sell for Per pound. She wants to have a total of Pounds of the special blend, and she is selling it for Per pound. How many pounds of each type of bean should she combine?

Solve the system of equations by substitution. -

The graph represents the system of equations . Solve the system by graphing.

Write the system of equations in standard from, clearing all fractions:

The graph represents the system of equations . Solve graphically.