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Solving Systems of Linear Equations: Linear Combinations Answers

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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

A
The first equation should be multiplied by 3 and the second equation by 5.
B
The first equation should be multiplied by 3 and the second equation by −5.
C
The first equation should be multiplied by 9 and the second equation by 4.
D
The first equation should be multiplied by 9 and the second equation by −4.
22
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The system of equations below has no solution.

Question illustration
A
Four-thirds x = 42
Option A
B
Option
Option B
C
Fifteen-halves y = 33
Option C
D
0 = 0
Option D
23

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
3 square feet per minute
B
6 square feet per minute
C
9 square feet per minute
D
15 square feet per minute
24

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.

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

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Solving Systems of Linear Equations: Linear…