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

Sagot :

[tex]\text{Answer: y = }\frac{1}{6(3-4x)}[/tex]

[tex]8x\text{ + }\frac{1}{3y}=\text{ 6}[/tex]

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

[tex]\frac{24xy\text{ + 1}}{3y}=\text{ 6}[/tex]

The next step is to cross multiply:

[tex]24xy\text{ + 1 = 6(3y)}[/tex][tex]24xy\text{ + 1 = 18y}[/tex][tex]18y\text{ - 24xy = 1}[/tex][tex]6y(3-4x)\text{ = 1}[/tex]

Making y the subject of the formula:

[tex]\text{ y = }\frac{1}{6(3-4x)}[/tex]

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