Question

Rearrange the formula y=" title=" \frac{x + 2}{x - 4} " alt=" \frac{x + 2}{x - 4} " align="absmiddle" class="latex-formula">
to make X the subject
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Answer 1

Answer:

Step-by-step explanation:

$y =\frac{x+2}{x-4}\\\\y*(x-4)=x+2\\\\yx-4y = x+ 2\\\\yx-4y-x = 2\\\\yx -x = 2 +4y\\\\x(y-1)=2+4y\\\\x=\frac{2+4y}{y-1}$

Answer 2

Answer:

x = $\frac{2+4y}{y-1}$

Step-by-step explanation:

Given

y = $\frac{x+2}{x-4}$ ( multiply both sides by x - 4 )

y(x - 4) = x + 2 ← distribute parenthesis on left side

xy - 4y = x + 2 ( add 4y to both sides )

xy = x + 2 + 4y ( subtract x from both sides )

xy - x = 2 + 4y ← factor out x from each term on the left side

x(y - 1) = 2 + 4y ( divide both sides by y - 1 )

x = $\frac{2+4y}{y-1}$