How do you solve $\frac{2}{x + 6} = \frac{9}{8} - \frac{4}{x + 6}$ $2/( x +6) = 9/8 - 4/(x+6)$ ?

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How do you solve $\frac{2}{x + 6} = \frac{9}{8} - \frac{4}{x + 6}$ $2/( x +6) = 9/8 - 4/(x+6)$ ?

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Answer 1 · 2015-10-04T18:27:30

$x = - \frac{2}{3}$ $x=-2/3$

Explanation:

$\frac{2}{x + 6} = \frac{9}{8} - \frac{4}{x + 6}$ $2/(x+6)=9/8-4/(x+6)$

$\frac{2}{x + 6} - \frac{9}{8} + \frac{4}{x + 6} = 0$ $2/(x+6)-9/8+4/(x+6)=0$

$\frac{2 \cdot 8 - 9 (x + 6) + 4 \cdot 8}{8 (x + 6)} = 0$ $(2*8-9(x+6)+4*8)/(8(x+6))=0$

$\frac{16 - 9 x - 54 + 32}{8 (x + 6)} = 0$ $(16-9x-54+32)/(8(x+6))=0$

$\frac{- 6 - 9 x}{8 (x + 6)} = 0$ $(-6-9x)/(8(x+6))=0$

$- 6 - 9 x = 0 \land x + 6 \neq 0$ $-6-9x=0 ^^ x+6 !=0$

$x = \frac{6}{- 9} \land x \neq - 6$ $x=6/-9 ^^ x!=-6$

$x = - \frac{2}{3}$ $x=-2/3$

Answer 2 · 2015-10-04T18:28:43

x = -0.66666

Explanation:

2 / (x + 6) = 9 / 8 − 4 / (x + 6)
Transport − 4 / (x + 6) to the left hand side. We get
2 / (x + 6) + 4 / (x + 6) = 9 / 8
or 6 / (x + 6) = 9 / 8
Cross multiplying,
8 * 6 = 9 * (x + 6)
or 8 * 6 / 9 = x + 6
ie x = 8 * 6 / 9 - 6 = 5.333 - 6

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How do you solve $\frac{2}{x + 6} = \frac{9}{8} - \frac{4}{x + 6}$ $2/( x +6) = 9/8 - 4/(x+6)$ ?

2 Answers

Explanation:

Explanation:

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How do you solve $\frac{2}{x + 6} = \frac{9}{8} - \frac{4}{x + 6}$ $2/( x +6) = 9/8 - 4/(x+6)$ ?