Question

A line is represented by the equation 2x + 3y = 15. What is another way to represent the same line, for solving Y ? Help is needed please answer with work

Answer 1

The another way to represent the same line, for solving $y$ will be:  $y= 5-\frac{2}{3}x$

Explanation

Given equation of the line is:  $2x+3y=15$

"Solving $y$" means we need to get $y$ alone in left side. So, we will eliminate all other terms except $y$ from the left side.

First we will subtract 2x from both sides. So, we will get......

$2x+3y-2x=15-2x\\ \\ 3y=15-2x$

Now, we will divide both sides by 3 for getting $y$ alone. So.....

$\frac{3y}{3}= \frac{15-2x}{3}\\ \\ y= 5-\frac{2}{3}x$

Thus, the another way to represent the same line, for solving $y$ will be:  $y= 5-\frac{2}{3}x$