Question

How to solve the rational equation?

1/3 + 1/2 = 1/x

Answer 1

x = ⁶/₅

Explanation:

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