Solving Systems of Linear Equations: Linear Combinations Answers

A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75. If x is the cost of one apple and y is the cost of one orange, the system of equations below can be used to determine the cost of one apple and one orange.6x+6y=7.5010x+5y=8.75

The system of equations is solved using the linear combination method.What does 0 = −12 mean regarding the solution to the system?

To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?First Equation: 5x − 4y = 28Second equation: 3x - 9y = 30

How many solutions are there to the system of equations?

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.

The system of equations below has no solution.

Which statement is true about the equations –3x + 4y = 12 and x – y = 1?

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

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

Which ordered pair is a solution to the system of linear equations?2x + 3y= 6–3x + 5y = 10