How do you solve equations with rational expressions $\frac{1}{x} + \frac{2}{x} = 10$ $1/x+2/x=10$ ?

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Answer 1 · 2018-06-15T04:40:45

$x = \frac{3}{10}$ $x = 3/10$

$\frac{1}{x} + \frac{2}{x} = 10$ $1/x + 2/x = 10$

First, let's get rid of the fractions by multiplying everything by $x$ $color(blue)x$ :
$x (\frac{1}{x} + \frac{2}{x} = 10)$ $x(1/x + 2/x = 10)$

$1 + 2 = 10 x$ $1 + 2 = 10x$

Simplify the left hand side:
$3 = 10 x$ $3 = 10x$

Now to solve for $x$ $x$ , divide both sides by $10$ $color(blue)10$ :
$\frac{3}{10} = \frac{10 x}{10}$ $3/color(blue)10 = (10x)/color(blue)10$

Therefore,
$\frac{3}{10} = x$ $3/10 = x$

$x = \frac{3}{10}$ $x = 3/10$

Hope this helps!

How do you solve equations with rational expressions 1x+2x=101/x+2/x=10?