Answer: x = 20
Step-by-step explanation:
Multiply by 10 ( next LCF )
10 ( x / 2 + 2x / 5 ) = 18 * 10
5x + 4x = 180
9x = 180
x = 20
Answer:
[tex]\dfrac{x}{2} + \dfrac{2x}{5} = 18[/tex] has the unique solution x = 20.
Step-by-step explanation:
The equation has the equivalences
[tex]\displaystyle\frac{x}{2} + \frac{2x}{5} = 18 \Leftrightarrow x\left( \frac{1}{2} + \frac{2}{5} \right) = 18 \Leftrightarrow x \left( \frac{9}{10} \right) = 18 \Leftrightarrow x = 18 \cdot \frac{10}{9} = 20.[/tex]
