# How do you solve 4/6=8/(x-1)?

May 14, 2018

#### Answer:

$x = 13$

#### Explanation:

$\text{one way is to use "color(blue)"cross-multiplication}$

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$\Rightarrow 4 \left(x - 1\right) = 6 \times 8 = 48$

$\Rightarrow 4 x - 4 = 48$

$\text{add 4 to both sides}$

$4 x = 48 + 4 = 52$

$\text{divide both sides by 4}$

$\frac{\cancel{4} x}{\cancel{4}} = \frac{52}{4}$

$\Rightarrow x = 13$

$\textcolor{b l u e}{\text{As a check}}$

Substitute this value into the right side of the equation and if equal to the left side then it is the solution.

$\text{right } = \frac{8}{13 - 1} = \frac{8}{12} = \frac{2}{3}$

$\text{left } = \frac{4}{6} = \frac{2}{3}$

$\Rightarrow x = 13 \text{ is the solution}$