Solving Systems: Introduction to Linear Combinations

Question 1

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books and y represent the number of nonfiction books. Which system of linear equations represents the situation?

Revolt · Accepted Answer

x + y = 26 and x – y = 12

Question 2

Use this system of equations to answer the questions that follow. 4x – 9y = 7–2x + 3y = 4

Revolt · Accepted Answer

2; 3

Question 3

Question 3

Revolt · Accepted Answer

3

Question 4

What is the solution to the system?

Revolt · Accepted Answer

(, –5)

Question 5

Let x represent the number of short-sleeved shirts ordered and let y represent the number of long-sleeved shirts ordered. Which system of linear equations represents the situation?

Revolt · Accepted Answer

5x + 10y = 1,750 and [image 1] x + [image 2] y = 100

Question 6

The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the shirts they ordered, to earn a total of $1,750. After the first week of the fundraiser, they sold of the short-sleeved shirts and of the long-sleeved shirts, for a total of 100 shirts.This system of equations models the situation. 5x + 10y = 1,750x + y = 100

Revolt · Accepted Answer

150; 100

Question 7

Question 7

Revolt · Accepted Answer

100

Solving Systems: Introduction to Linear Combinations Answers

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