Solving Systems: Introduction to Linear Combinations Answers

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

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

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

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

Solve the system of equations.

(–4, 6)(–2.75, 8.6)(2.75, 3.5)✔ (4, 6)

Solve the system of equations.6x – 3y = 3–2x + 6y = 14

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Solve the system to answer the questions.

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

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

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?

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Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes.This system of equations models the situation.x + y =1255x + 8y = 775