The variable y represents the larger number, and the variable x represents the smaller number.
If the larger number is double the sum of 3 and the smaller number, we have the equation:
![y=2(3+x)](https://img.qammunity.org/2023/formulas/mathematics/college/bp5rts75uyoa6ck5erh70xzqvs3ausrcqw.png)
Then, if the larger number is 2 less than 3 times the smaller number, we have:
![y=3x-2](https://img.qammunity.org/2023/formulas/mathematics/high-school/cs951ld0m5fyz30f6jmmjk2jhieli70v8l.png)