How to solve the rational equation? 1/3 + 1/2 = 1/x

Mathematics

1 answer:

tatyana61 [14]4 years ago

8 0

Answer:

x = ⁶/₅

Step-by-step explanation:

$\begin{array}{rcll}\dfrac{1}{3} + \dfrac{1}{2} & = &\dfrac{1}{x} & \\\\2x + 3x & = & 6 & \text{Multiplied all terms by LCM of denominators (6x)}\\5x & = & 6 & \text{Simplified left-hand side}\\x & = & \mathbf{\dfrac{6}{5}} & \text{Divided each side by 5}\\\end{array}$

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Reduce to simplest form.

Shkiper50 [21]

Answer:

11/6

Step-by-step explanation:

$\dfrac{6}{3}+\left(-\dfrac{1}{6}\right)=\dfrac{12}{6}-\dfrac{1}{6}=\dfrac{12-1}{6}\\\\=\boxed{\dfrac{11}{6}}$

As a mixed number, this is 1 5/6.

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3 years ago

Urgent!!! PLEASE HELP, FAST!!!

gayaneshka [121]

The best way to solve this is to put it into a proportion:
$\frac{x}{84} = \frac{ \frac{1}{4} }{ \frac{3}{4} }$
So you cross multiply to get:
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Then multiply by $\frac{4}{3}$
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4 years ago

Can someone help me I’m so confuse on this question help me

Stels [109]

I don’t know I’m lost use a calculator

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3 years ago

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What is the inverse function of d(x) = 2x - 4?

Naddik [55]

Let d(x) = 2x - 4

Or

y = 2x - 4

We have replace x = y

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Now Isolate "y"

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Pass "2" dividing

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y = x/2 + 2

Or

d(x)^-1 = x/2 + 2

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3 years ago