426,307 views
28 votes
28 votes
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 Anastasiya
by
2.5k points

1 Answer

20 votes
20 votes

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 Curtis Boylan
by
3.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.