Systems of Equations - Writing Equations

6 - 1 : Students will be able to write a system of equations including systems of two linear equations with two variables and systems of three linear equations with three variables.

Writing 2x2 Systems

Writing 3x3 Systems (End 5:38)

Write a system of equations to model the infromation presented in the word problem.

Outcome 6-1

Joe and Steve are saving money. Joe starts with $105 and saves $5 per week. Steve starts with $5 and saves $15 per week. Write a system of equations you can use to determine when they will have the same amount of money.

Write a system of equations to model the infromation presented in the word problem.

Outcome 6-1

Salvador’s Fruit Mart sells variety packs. The small pack contains three bananas, two apples, and one orange for $1.80. The medium pack contains four bananas, three apples, and three oranges for $3.05. The family size contains six bananas, five apples, and four oranges for $4.65. Write a system of equations to represent this information.

y=5x+105 y=15x+5

3b+2a+1r=1.80 4b+3a+3r=3.05 6b+5a+4r=4.65