Question

Solve for y: 2x+3y=15

Answer 1

`\huge \fbox \red{Answer}`

2x + 3y = 15

3y = 15 - 2x

y = 15 - 2x/3

Answer 2

`\huge\boxed{y=5-(2)/(3)x}`

Explanation:

With the equation
`\displaystyle 2x+3y=15`, we can solve for y by algebraically manipulating the question until we have y isolated on one side.

It's important to note that if we do something to one side, we have to do it to another. Just as
`5=5`, adding two to both sides still makes it true
`5+2=5+2, 7=7`.

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

Therefore, this equation for y is
`\displaystyle y = 5 - (2)/(3)x` .

Hope this helped!