Question

Rearrange the formula
y=x+2/x-4
to make x the subject.

Answer 1

Answer:

=>>

x = (2 + 4y) / (y - 1)

Step-by-step explanation:

y = (x + 2) / (x - 4)

if so, start with multiplying both sides by x - 4

y(x - 4) = x + 2

expand the y through the parenthesis:

xy - 4y = x + 2

move all x's to one side, everything else to the other

xy - x = 2 + 4y

factor out an x:

x(y - 1) = 2 + 4y

now divide both sides by y - 1:

x = (2 + 4y) / (y - 1)

Answer 2

Division Algorithm - Remainder Theorem

We divide (x+2) by (x-4). The remainder is where x=4, remainder 6

Since the leading coefficient is 1, quotient 1

Therefore, $\frac{x+2}{x-4} =1+\frac{6}{x-4}$

$y=1+\frac{6}{x-4}$

$y-1=\frac{6}{x-4}$

∴$\frac{6}{x-4}=y-1$