Question

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

Answer 1

Step-by-step 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

Answer:

$\frac{ay}{x} - dx = wx$

multiply x through out:

$ay - {dx}^{2} = w {x}^{2} \\ {wx}^{2} + {dx}^{2} = ay$

factorise out x²:

${x}^{2} (w + d) = ay \\ {x}^{2} = \frac{ay}{w + d}$

take square root on both sides:

$\sqrt{ {x}^{2} } = \sqrt{ \frac{ay}{w + d} } \\ \\ x = \sqrt{ \frac{ay}{w + d} }$