Question

Simplify and make y the subject of the formula in the equation: 8x + 1/3y=6

Answer 1

`\text{Answer: y = }(1)/(6(3-4x))`

`8x\text{ + }(1)/(3y)=\text{ 6}`

To simplify the above equation, the first step is to find the LCM of the Right Hand Side.

The LCM of 1 and 3y is 3y

`\frac{24xy\text{ + 1}}{3y}=\text{ 6}`

The next step is to cross multiply:

`24xy\text{ + 1 = 6(3y)}`
`24xy\text{ + 1 = 18y}`
`18y\text{ - 24xy = 1}`
`6y(3-4x)\text{ = 1}`

Making y the subject of the formula:

`\text{ y = }(1)/(6(3-4x))`