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? y = - x + 30 y = 3x + 6 y = - x + 6 y = x + 30

Answer 1

y=-

`(3)/(5) x + 6`

Answer 2

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

Explanation:

The given linear equation is

`3x+5y=30`

We need to solve the above equation for y.

Using subtraction property of equality, subtract 3x from both sides.

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

`5y=30-3x`

Using division property of equality, divide both sides by 5.

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

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

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

Arrange the terms.

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

Therefore, the required equation is
`y=-(3)/(5)x+6`.