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Module 5: Systems of Linear Equations

1 / 5

A system of equations is graphed on the coordinate grid below.

Which of the following systems of equations does the graph represent?

2 / 5

A person attending the rodeo spent $31 on a meal and 10 rides. At the same rodeo, another person spent $5 more on 2 meals and 7 rides. The price of the meals is the same, and the prices for each of the rides are all the same.

Which system of equations can be used to find the price in dollars for a meal, 𝑥, and the price of each ride, 𝑦?

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A system of equations is shown.

The equations read 2x plus 2y equals 12 and y equals negative 5 minus x. A blank coordinate plane from negative 10 to 10 is shown for graphing the system.

Which statement is true about this system of equations?

4 / 5

Which graph best represents this system of equations and its solution?

The equations read y equals negative one half x plus 8 and y equals four thirds x minus 2.

5 / 5

Two customers purchased coffee and a pastry at a restaurant. Each coffee costs the same amount, and each pastry is the same price.

  • The first person paid $17.50 for 2 coffees and 2 pastries.
  • The second person paid $15.75 for 3 coffees and 1 pastry.

What is the cost of 1 pastry?

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