Question

$$\frac{ x }{ x } + \frac{ 2 }{ -4 } = \frac{ 5 }{ 8 } + \frac{ 2 }{ 5 }$$

Answer

[No Solution]

Solution


Cancel \(x\).
\[1+\frac{2}{-4}=\frac{5}{8}+\frac{2}{5}\]
Move the negative sign to the left.
\[1-\frac{2}{4}=\frac{5}{8}+\frac{2}{5}\]
Simplify  \(\frac{2}{4}\)  to  \(\frac{1}{2}\).
\[1-\frac{1}{2}=\frac{5}{8}+\frac{2}{5}\]
Simplify  \(1-\frac{1}{2}\)  to  \(\frac{1}{2}\).
\[\frac{1}{2}=\frac{5}{8}+\frac{2}{5}\]
Simplify  \(\frac{5}{8}+\frac{2}{5}\)  to  \(\frac{41}{40}\).
\[\frac{1}{2}=\frac{41}{40}\]
Since \(\frac{1}{2}=\frac{41}{40}\) is false, there is no solution.
No Solution