3x3 Systems of linear equations

Presentation

•

Mathematics

•

10th - 12th Grade

•

Easy

Jesus Molina

Used 3+ times

FREE Resource

4 Slides • 5 Questions

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

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)

Formulate and solve three by three systems of linear equations

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