Find the value of x in the following equation: x/2 + 2x/5 = 18 A. x = 11/2 B. x = 2 C. x = 255/7 D. x = 20
2 answers:
Answer:
has the unique solution x = 20.
Step-by-step explanation:
The equation has the equivalences
![\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.](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7Bx%7D%7B2%7D%20%2B%20%5Cfrac%7B2x%7D%7B5%7D%20%3D%2018%20%5CLeftrightarrow%20x%5Cleft%28%20%5Cfrac%7B1%7D%7B2%7D%20%2B%20%5Cfrac%7B2%7D%7B5%7D%20%5Cright%29%20%3D%2018%20%5CLeftrightarrow%20x%20%5Cleft%28%20%5Cfrac%7B9%7D%7B10%7D%20%5Cright%29%20%3D%2018%20%5CLeftrightarrow%20x%20%3D%2018%20%5Ccdot%20%5Cfrac%7B10%7D%7B9%7D%20%3D%2020.)
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
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