Solving Systems of Linear Equations: Substitution

Question 1

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

Revolt · Accepted Answer

(1.6, –1.6)

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

y=4x – 10y=2

Revolt · Accepted Answer

(3, 2)

Question 4

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

Revolt · Accepted Answer

(–19, 55)

Question 5

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

Revolt · Accepted Answer

(negative 2, StartFraction 5 over 3 EndFraction)

Question 6

y=–5x + 30x=10

Revolt · Accepted Answer

(10, –20)

Question 7

What is the solution to the system of equations?y = x – 102x + y = 4

Revolt · Accepted Answer

(6, –8)

Question 8

y=–3x + 6y=9

Revolt · Accepted Answer

(–1, 9)

Question 9

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 10

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?y = -2x + 46x + 3y =

Revolt · Accepted Answer

12

Solving Systems of Linear Equations: Substitution Answers

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