Question

Solve the equation. Check your solution. x/6+x/3=3/4-2/3-3/2-5/6-6/5-2/23-23/2

Answer 1

This is a fractional algebraic equation.

To solve it, we simplify the left-hand side of the equation as a single fraction and then equate to the right-hand side to get the solution.

`\begin{gathered} (x)/(6)+(x)/(3)=(3)/(4) \\ \\ U\sin g\text{ the Lowest Common Multiple (LCM) of the left-hand side,} \\ \text{The }LCM\text{ is 6} \\ (x+2x)/(6)=(3)/(4) \\ (3x)/(6)=(3)/(4) \\ \text{Cross multiplying the equation;} \\ 4*3x=3*6 \\ 12x=18 \\ \text{Dividing both sides by 12;} \\ x=(18)/(12) \\ x=(3)/(2) \end{gathered}`

Therefore, the solution to the equation is;

`x=(3)/(2)`