Solving Systems of Linear Equations: Substitution Answers

Vineet solved a system of equations by substitution. In his work, he substituted an expression for one of the variables and solved for the value of the other. This resulted in the equation 7 = 9. What can Vineet conclude?

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

–113

y = [___]

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

For the total cost to be the same for both companies, the volleyball team would need to purchase [___] T-shirts from each company for a total of $[___] for each company.

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

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

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

–3–1✔ 3

✔ –113

Solve the system of equations by substitution.

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