Solving Systems of Linear Equations: Substitution

Question 1

What is the solution to the system of equations?y = –3x – 25x + 2y = 15

Revolt · Accepted Answer

(–19, 55)

Question 2

The tables represent two linear functions in a system.What is the solution to this system?

Revolt · Accepted Answer

(8, –22)

Question 3

Casey is deciding which of two landscapers to hire. Each landscaper charges an hourly rate plus a fee for each job.Casey correctly wrote and solved a system of linear equations by substitution. In his work, he substituted an expression for one variable and solved for the other. This resulted in the equation 5 = 20. What can Casey conclude?

Revolt · Accepted Answer

Both landscapers charge the same hourly rate, but not the same fee per job.

Question 4

y=–5x + 30x=10

Revolt · Accepted Answer

(10, –20)

Question 5

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?y = 2x – 52y – 4x =

Revolt · Accepted Answer

–10

Question 6

The soccer team is planning to sell health bars for a fundraiser. The prices of purchasing health bars from two different companies are represented by the system of equations shown, where x is the number of bars purchased and y is the total cost in dollars.Company A: y=0.75xCompany B: y=10+0.50x

Revolt · Accepted Answer

40

Question 7

y=–3x + 6y=9

Revolt · Accepted Answer

(–1, 9)

Question 8

The tables represent two linear functions in a system.What is the solution to this system?

Revolt · Accepted Answer

(–14, –54)

Question 9

What is the solution to the system of equations?y = 1.5x – 4y = –x

Revolt · Accepted Answer

(1.6, –1.6)

Question 10

Kathleen and Arnob both run from the park entrance along a loop. Kathleen starts walking from the park entrance and gets a 5-mile head start on Arnob. The graph shows how far they have both traveled.

Revolt · Accepted Answer

75

Solving Systems of Linear Equations: Substitution Answers

More from this Course

TRY EDGENUITY HACKS