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Create a graph system of linear equations that model this situation.

Create a graph system of linear equations that model this situation.-example-1
User Zachery
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x represents the number of packages of coffee sold

y represents the number of packages of pastry sold

We were the cost of a package of coffee is $6 and the cost of a package of pastry is $4. If the total amount made from selling x packages of coffee and y packages of pastry is $72, then the equation representing this scenario is

6x + 4y = 72

Also, we were told that she sold 2 more packages of coffee than pastries. This means that

x = y + 2

Thus, the system of linear equations is

6x + 4y = 72

x = y + 2

We would plot these equations on the graph. The graph is shown below

The red line represents x = y + 2

The bu line represents x = y + 2

Create a graph system of linear equations that model this situation.-example-1
User Tim Cavanaugh
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