AnswersPA PCS Math 1 2026 Fall Sem XRSolving Systems of Linear Equations: Graphing

Solving Systems of Linear Equations: Substitution Answers

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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

A
6
B
8
C
30
D
40
2
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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?

A
One gym charges $75 per month.
B
Each gym charges $75 per month.
C
Both gyms charge the same monthly rate and the same membership fee.
D
Both gyms charge the same monthly rate, but not the same membership fee.
3

y=4x – 10y=2

A
(3, 2)
B
(2, 3)
C
(–2, 2)
D
(2, –2)
4

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

A
(–1.6, 1.6)
B
(–1.5, 1.5)
C
(1.5, –1.5)
D
(1.6, –1.6)
5

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

Question illustration
A
(1, 0)
B
(1, 6)
C
(8, 26)
D
(8, –22)

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