How do you solve $\frac{8}{x - 7} = \frac{7}{2}$ $8/(x-7) = 7/2$ ?

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Answer 1 · 2016-02-13T08:53:22

$x = 9 \frac{2}{7}$ $x=9 2/7$

$\frac{8}{x - 7} = \frac{7}{2}$ $8/(x-7)=7/2$

Cross multiply $\frac{a}{b} = \frac{c}{d}, a d = b c$ $color(blue)(a/b=c/d,ad=bc$

$\to 2 (8) = 7 (x - 7)$ $rarr2(8)=7(x-7)$

Use distributive property $a (b + c) = a b + a c$ $color(orange)(a(b+c)=ab+ac$

$\to 16 = 7 x - 49$ $rarr16=7x-49$

$\to 7 x = 16 + 49$ $rarr7x=16+49$

$\to 7 x = 65$ $rarr7x=65$

$\Rightarrow x = \frac{65}{7} = 9 \frac{2}{7}$ $rArrx=65/7=9 2/7$

How do you solve 8/(x-7) = 7/28x−7=728/(x-7) = 7/2?