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-(2)/(3)x`

Step-by-step 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.....

`(3y)/(3)= (15-2x)/(3)\\ \\ y= 5-(2)/(3)x`

Thus, the another way to represent the same line, for solving
`y` will be:
`y= 5-(2)/(3)x`