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Anna35 [415]
3 years ago
6

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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