3x3 Systems of linear equations

Formulate and solve three by three systems of linear equations

Match

A soccer team is ordering jerseys, shorts, and shoes. They have a budget of $1500 to spend on jerseys, x, that cost $15 each, shorts, y, that cost $20 each, and shoes, z, that cost $25 each. They want to buy 70 items in preparation for the upcoming season and they must order as many shoes as jerseys and shorts combined.

Write a system of three equations that directly models this situation.

• $$15x+20y+25z=$$  

• $$x+y+z=$$  

• $$x+y=$$  

1500

70

z

• 1500

• 70

• z

Multiple Choice

Solve the system.

• (3, -2, 4)
• (2, -3, 1)
• (-3, 2, -1)
• Infinitely many solutions

Multiple Choice

Solve the system.

• (2, -2, 3)
• (2, 1, 4)
• (-2, 2, -3)
• No Solution

Multiple Choice

Solve the system. 

• (5, -6, 3)
• (2, 3, -1)
• (-4, 2, 5)
• No Solution

Multiple Choice

Solve the system of equations.
x-3y=13
5x+6z=41
2x+4y-z=5

• (7,-2,1)
• (13,0,-4)
• (10,-1,11)
• (1,-4,6)