Solving Systems of Linear Equations: Substitution Answers

The volleyball team at West View High School is comparing T-shirt companies where they can purchase their practice shirts. The two companies, Shirt Box and Just Tees, are represented by this system of equations where x is the number of T-shirts and y is the total cost of the T-shirts.

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The volleyball team at West View High School is comparing T-shirt companies where they can purchase their practice shirts. The graph represents the two companies’ prices. What is the linear equation that represents each T-shirt company?

y = 5.5x✔ y = 10.5xy = 6.5x + 30y = 7.5x + 30

2(8 – 3x) + 3x = 3✔ 2x + 3(8 – 3x) = 32x + 3y = 8 – 3x

–3–1✔ 3

✔ –113

⇒ 1

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The tables represent two linear functions. The equation represented by the first table is given below.

Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each point value are on the test.Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.

How many problems of each point value are on the test?

(–6.3, –10.75)(–6.3, –0.75)✔ (–6, 0)(0, –6)