3 years ago

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

Mathematics

1 answer:

tatyana61 [14]3 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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