To solve the equation \( \frac{2}{5}x + 4 = \frac{1}{5} \), follow these steps:
-
Isolate the term with \( x \): \[ \frac{2}{5}x + 4 - 4 = \frac{1}{5} - 4 \] This simplifies to: \[ \frac{2}{5}x = \frac{1}{5} - \frac{20}{5} = \frac{1 - 20}{5} = \frac{-19}{5} \]
-
Multiply both sides by the reciprocal of \( \frac{2}{5} \), which is \( \frac{5}{2} \): \[ x = \frac{-19}{5} \cdot \frac{5}{2} \] The \( 5 \) in the numerator and denominator cancels out: \[ x = \frac{-19}{2} \]
The solution is: \[ x = -\frac{19}{2} \]
Thus, the correct response is: \[ \text{negative Start Fraction 19 over 2 End Fraction} \]
1 answer