Solve the following two variable system by hand. Classify the system.

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Presentation transcript:

Solve the following two variable system by hand. Classify the system

Monica has $1, $5, and $10 bills in her wallet that are worth $96. If she had one more $1 bill, she would have just as many $1 bills as $5 and $10 bills combined. She has 23 bills total. How many of each denomination does she have?

Solve the following system of inequalities by graphing

Solve the following two variable system by hand. Classify the system

Solve the following system of inequalities by graphing

Solve the following two variable system by hand. Classify the system

Suppose you bought eight oranges and one grapefruit for a total of $4.60. Later that day, you bought six oranges and three grapefruits for a total of $4.80. Now you want to find the price of each orange and each grapefruit. Write an equation for each purchase and solve the system.

Use Matrices to solve the following three variable system

Solve the following system of inequalities by graphing

Use Matrices to solve the following three variable system

The sum of three numbers is -2. The sum of three times the first number, twice the second number, and the third number is 9. The difference between the second number and half the third number is 10. Find the numbers.

Solve the following system of inequalities by graphing