"The sum of two times x and 3 times y is 5."
From this sentence, we get the following equation
![2x+3y=5](https://img.qammunity.org/2023/formulas/mathematics/high-school/6sin0qzcsg41yqd5br1q15jifk5qhb9gvu.png)
"The difference of x and y is 5."
From this sentence, we get the following equation
![x-y=5](https://img.qammunity.org/2023/formulas/mathematics/college/4yiy4pzs52lcw4uu2i60umvap5xd9cf3c1.png)
They are both line equations, and the solution of this system is the intercept between those lines.
Using a graphing software, we have the following graphs
The value of y is - 1.