Solving Systems of Linear Inequalities

Question 1

How many solutions are there to the system of equations?

Revolt · Accepted Answer

no solutions

Question 2

A personal trainer designs exercise plans based on a combination of strength-training and aerobic exercise. A beginner plan has 15 minutes per session of strength-training and 20 minutes per session of aerobic exercise for a total of 90 minutes of exercise in a week. An advanced plan has 20 minutes per session of strength-training and 30 minutes of aerobic exercise for a total of 130 minutes of exercise in a week.

Revolt · Accepted Answer

Each plan utilizes a combination of 2 strength-training sessions and 3 aerobic exercise sessions per week.

Question 3

The system of equations shown is solved using the linear combination methodWhat does 0 = 0 mean regarding the solution to the system?

Revolt · Accepted Answer

There are infinitely many solutions to the system because the equations represent the same line.

Question 4

Karina uses the system of equations below to compare the monthly utility costs in July and December for electricity, x, and natural gas, y. 750x + 17y = 141.61300x + 30y = 75.90

Revolt · Accepted Answer

The cost of natural gas is $0.83 per unit.

Question 5

Mr. Brown is creating examples of systems of equations. He completes the steps to find the solution of the equation below.

Revolt · Accepted Answer

infinitely many solutions

Solving Systems of Linear Inequalities Answers

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