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?

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?

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.

–3–13

([___], [___])

⇒ 6

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.

y = –2.5x – 15y = –2.5xy = 2.5x + 15y = 2.5x

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)