Solving Systems: Introduction to Linear Combinations

Question 1

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.This system of equations models the given information for both stamp types.x – y = 34 x + y = 212

Revolt · Accepted Answer

: 74286; : 123

Question 2

Follow the directions to solve the system of equations by elimination.

Revolt · Accepted Answer

: 74292; : 5

Question 3

Solve the system using multiplication for the linear combination method.6x – 3y = 3–2x + 6y = 14What is the solution to the system?

Revolt · Accepted Answer

D: (2, 3)

Question 4

Let x represent the number of quick washes and let y represent the number of premium washes. Which system of linear equations represents the situation?

Revolt · Accepted Answer

A: 5x + 8y = 775 and x + y =125

Question 5

Question 5

Revolt · Accepted Answer

123

Question 6

Question 6

Revolt · Accepted Answer

5

Question 7

x + y = 34x – y = 34✔ x + y = 212x – y = 212

Revolt · Accepted Answer

C: ✔ x + y = 212

Question 8

x + y = 34✔ x – y = 34x + y = 212x – y = 212

Revolt · Accepted Answer

B: ✔ x – y = 34

Question 9

x + y = 34 and x + y = 212x – y = 34 and x – y = 212x + y = 34 and x – y = 212✔ x – y = 34 and x + y = 212

Revolt · Accepted Answer

D: ✔ x – y = 34 and x + y = 212

Question 10

Solve the system of equations.

Revolt · Accepted Answer

B: ✔ 8x = 32

Solving Systems: Introduction to Linear Combinations Answers

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