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

Solving Systems: Introduction to Linear Combinations Answers

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Fiona and her friends went to a smoothie shop. They ordered three strawberry smoothies and two protein shakes for a total of $24.00. Last week they ordered one strawberry smoothie and four protein shakes for a total of $25.50. The system that represents their purchases is below.x + 4y = 25.503x + 2y = 24.00What is the price of a protein shake?

A
$3.75
B
$4.50
C
$4.95
D
$5.25
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What is the solution to this system of linear equations?2x + 3y = 37x – 3y = 24

A
(2, 7)
B
(3, –21)
C
(3, –1)
D
(9, 0)
3

What is the solution to this system of linear equations?y − x = 6y + x = −10

A
(−2, −8)
B
(−8, −2)
C
(6, −10)
D
(−10, 6)
4

A soccer team ordered 12 jerseys and 12 pairs of shorts, for a total of $156. Later, they had to order 4 more jerseys and 6 more pairs of shorts, for a total of $62.The system of equations that can be used to find x, the cost of each jersey, and y, the cost of each pair of shorts is shown.12x + 12y=1564x + 6y=62

A
$5
B
$8
C
$12
D
$13
5

Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below. x+ y= 243.50x + 5.00y = 97.50Solve the system of equations. How many 10 oz. boxes were sold?

A
6
B
9
C
12
D
15

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