Solving Systems of Linear Equations: Substitution

Question 1

y=–3x + 6y=9

Revolt · Accepted Answer

(–1, 9)

Question 2

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

Revolt · Accepted Answer

(–19, 55)

Question 3

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 4

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

Revolt · Accepted Answer

(negative 2, StartFraction 5 over 3 EndFraction)

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

Revolt · Accepted Answer

(8, –22)

Question 7

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

Revolt · Accepted Answer

(6, –8)

Question 8

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

Question 9

Lian is deciding which of two gyms to join. Each gym charges a monthly rate plus a one-time membership fee.Lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. In her work, she substituted an expression for one variable and solved for the other. This resulted in the equation 75 = 75. What can Lian conclude?

Revolt · Accepted Answer

Both gyms charge the same monthly rate and the same membership fee.

Question 10

y=4x – 10y=2

Revolt · Accepted Answer

(3, 2)

Solving Systems of Linear Equations: Substitution Answers

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