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

Question

asked Aug 20, 2023 143k views

1 Answer

Ante Vrli · Answer 1 · 2023-08-26T08:30:16+0000

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

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

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:

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