How do you solve $\frac{36}{54} = \frac{2 x}{6}$ $36/54=(2x)/6$ ?

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Answer 1 · 2016-08-09T20:34:21

The answer is $x = 2$ $x=2$ .

$\frac{36}{54} = \frac{2 x}{6}$ $36/54=(2x)/6$

Simplify $\frac{36}{54}$ $36/54$ .

$9$ $9$ goes evenly into both $36$ $36$ and $54$ $54$ .

$\frac{\frac{36}{9}}{\frac{54}{9}} = \frac{2 x}{6}$ $(36/9)/(54/9)=(2x)/6$

Simplify.

$\frac{4}{6} = \frac{2 x}{6}$ $4/6=(2x)/6$

Simplify $\frac{4}{6}$ $4/6$ to $\frac{2}{3}$ $2/3$ .

$\frac{2}{3} = \frac{2 x}{6}$ $2/3=(2x)/6$

Simplify $\frac{2 x}{6}$ $(2x)/6$ to $\frac{x}{3}$ $x/3$

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

Multiply both sides of the equation by $3$ $3$ .

$cancel(3)xx2/cancel(3)=x/cancel(3)xxcancel(3)$

Simplify.

$2=x$

Switch sides.

$x=2$

How do you solve 36/54=(2x)/63654=2x636/54=(2x)/6?