The another way to represent the same line, for solving
will be: ![y= 5-\frac{2}{3}x](https://tex.z-dn.net/?f=y%3D%205-%5Cfrac%7B2%7D%7B3%7Dx)
<u><em>Explanation</em></u>
Given equation of the line is: ![2x+3y=15](https://tex.z-dn.net/?f=2x%2B3y%3D15)
"Solving
" means <u>we need to get</u>
<u>alone in left side.</u> So, we will eliminate all other terms except
from the left side.
First we will <u>subtract 2x </u>from both sides. So, we will get......
![2x+3y-2x=15-2x\\ \\ 3y=15-2x](https://tex.z-dn.net/?f=2x%2B3y-2x%3D15-2x%5C%5C%20%5C%5C%203y%3D15-2x)
Now, we will <u>divide both sides by 3</u> for getting
alone. So.....
![\frac{3y}{3}= \frac{15-2x}{3}\\ \\ y= 5-\frac{2}{3}x](https://tex.z-dn.net/?f=%5Cfrac%7B3y%7D%7B3%7D%3D%20%5Cfrac%7B15-2x%7D%7B3%7D%5C%5C%20%5C%5C%20y%3D%205-%5Cfrac%7B2%7D%7B3%7Dx)
Thus, the another way to represent the same line, for solving
will be: ![y= 5-\frac{2}{3}x](https://tex.z-dn.net/?f=y%3D%205-%5Cfrac%7B2%7D%7B3%7Dx)