Solving Systems of Linear Equations: Linear Combinations Answers

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

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

How many solutions are there to the system of equations?

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 statement describes the graph of the system of equations below?1.5x + 0.2y = 2.681.6x + 0.3y = 2.98

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

Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway.30x + 30y = 45020x + 25y = 345

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 below has no solution.

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