Question

Look at this linear equation. 3x + 5y = 30 Which of the following equations can be used to solve for y in the linear equation above? A. y = - x + 30 B. y = 3x + 6 C. y = - x + 6 D. y = x + 30

Answer 1

y = -3x/5 + 6

Explanation:

Given the equation 3x+5y = 30, to find the equation that can be used to solve for y, we will have to make y the subject of the formula from the given linear equation to have;

3x + 5y = 30

First we will subtract 3x from both sides of the equation to have;

3x+5y-3x = 30-3x

5y = 30-3x

Dividing both sides of the equation by the coefficient of y which is 5 we will have;

5y/5 = 30/5-3x/5

y = 6-(3x/5)

y = -3x/5 + 6

Answer 2

`y=-(3)/(5) x+6`

Explanation:

Lets solve the equation
`3x+5y=30` for
`y` step-by-step:

Step 1. Subtract
`3x` from both sides of the equation

`3x+5y=30`

`3x-3x+5y=-3x+30`

`5y=-3x+30`

Step 2. Divide both sides of the equation by 5

`(5y)/(5) =(-3x+30)/(5)`

`y=(-3x+30)/(5)`

`y=-(3)/(5)x+(30)/(5)`

`y=-(3)/(5) x+6`

We can conclude that the equation that can be used for solve for
`y` is
`y=-(3)/(5) x+6`