Solving Systems of Linear Equations: Substitution

Question 1

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

Question 2

Ernesto tried to determine the solution for the system of equations using substitution. His work is shown below.x – y = 73x – 2y = 8Step 1: x = y + 7Step 2: 3(y + 7) – 2y = 8Step 3: 3y + 7 – 2y = 8Step 4: y + 7 = 8Step 5: y = 1

Revolt · Accepted Answer

Step 3

Question 3

y=x – 6x=–4

Revolt · Accepted Answer

(–4, –8)

Question 4

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

Revolt · Accepted Answer

(8, –22)

Question 5

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

Revolt · Accepted Answer

(–19, 55)

Question 6

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

Revolt · Accepted Answer

(negative 2, StartFraction 5 over 3 EndFraction)

Question 7

y=–5x + 30x=10

Revolt · Accepted Answer

(10, –20)

Question 8

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

Revolt · Accepted Answer

(1.6, –1.6)

Question 9

y=–3x + 6y=9

Revolt · Accepted Answer

(–1, 9)

Question 10

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

Solving Systems of Linear Equations: Substitution Answers

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