Question

1/5x + 1/2x + 2/5 = 16/5

A: the solution is x= ?
B: the solution is all real numbers
C: the equation has no solution

Answer 1

Hint: The LCD is 10 (since the denominators are either 2 or 5, and 2*5 = 10). Multiply all of the terms by the LCD to clear out the fractions


\[\Large \frac{1}{5}x+\frac{1}{2}x+\frac{2}{5} = \frac{16}{5}\]
\[\Large {\color{red}{10*}}\frac{1}{5}x+{\color{red}{10*}}\frac{1}{2}x+{\color{red}{10*}}\frac{2}{5} = {\color{red}{10*}}\frac{16}{5}\]
\[\Large 2x+5x+4 = 32\]

I'll let you finish up

Answer 2

a