Question

Rearrange the formulae to make x the subject:
ay/x - dx= wx
Thanks in advance

Answer 1

Explanation:

the biggest obstacle is usually a division by x.

so, let's get rid of it by multiplying both sides of the equation by x

ay - dx² = wx²

then

ay = wx² + dx² = (w+d)x²

y = (w+d)x²/a = x² × (w+d)/a

Answer 2

`(ay)/(x) - dx = wx`

multiply x through out:

`ay - {dx}^(2) = w {x}^(2) \\ {wx}^(2) + {dx}^(2) = ay`

factorise out x²:

`{x}^(2) (w + d) = ay \\ {x}^(2) = (ay)/(w + d)`

take square root on both sides:

`\sqrt{ {x}^(2) } = \sqrt{ (ay)/(w + d) } \\ \\ x = \sqrt{ (ay)/(w + d) }`