The another way to represent the same line, for solving [tex]y[/tex] will be: [tex]y= 5-\frac{2}{3}x[/tex]
Explanation
Given equation of the line is: [tex]2x+3y=15[/tex]
"Solving [tex]y[/tex]" means we need to get [tex]y[/tex] alone in left side. So, we will eliminate all other terms except [tex]y[/tex] from the left side.
First we will subtract 2x from both sides. So, we will get......
[tex]2x+3y-2x=15-2x\\ \\ 3y=15-2x[/tex]
Now, we will divide both sides by 3 for getting [tex]y[/tex] alone. So.....
[tex]\frac{3y}{3}= \frac{15-2x}{3}\\ \\ y= 5-\frac{2}{3}x[/tex]
Thus, the another way to represent the same line, for solving [tex]y[/tex] will be: [tex]y= 5-\frac{2}{3}x[/tex]
