Answer:
See Explanation
Explanation:
Let the number of cookies be x and the number of cupcakes be y.
If the total is 280, then
![5x + 2y = 280](https://img.qammunity.org/2022/formulas/mathematics/high-school/ti4agiwx8pwn40dy9a980dufi0tgdtxqrj.png)
Subtract 5x from both sides
![5x - 5x + 2y = 280 - 5x](https://img.qammunity.org/2022/formulas/mathematics/high-school/vttgw5jrenb9eqi9kuraaasum1aa19s558.png)
![2y = 280 - 5x](https://img.qammunity.org/2022/formulas/mathematics/high-school/qowk5098a3b67glfnonkovfa7uwkt5u7ti.png)
Make y the subject
![y = 140 - (5)/(2)x](https://img.qammunity.org/2022/formulas/mathematics/high-school/e6cim3sz23hh9m7hkzn33p91f8we0vj1sx.png)
See attachment for graph
Any of the following equation can be plotted on the graph (they literally represent the same thing)
![5x + 2y = 280](https://img.qammunity.org/2022/formulas/mathematics/high-school/ti4agiwx8pwn40dy9a980dufi0tgdtxqrj.png)
![2y = 280 - 5x](https://img.qammunity.org/2022/formulas/mathematics/high-school/qowk5098a3b67glfnonkovfa7uwkt5u7ti.png)
![y = 140 - (5)/(2)x](https://img.qammunity.org/2022/formulas/mathematics/high-school/e6cim3sz23hh9m7hkzn33p91f8we0vj1sx.png)