Find which values of x are solutions.
-$$\frac { x } { 2 } + \frac { 1 } { 5 } = \frac { x } { 5 }$$
a. $x = 0$
b. $x = - \frac { 2 } { 3 }$
c. $x = 1$
A) (a) and (b)
B) (a)
C) (b)
D) (b) and (c)

Question

Quizplus · Accepted Answer

To solve the equation $\frac{x}{2} + \frac{1}{5} = \frac{x}{5}$, first get all terms involving $x$ on one side and constants on the other. Subtract $\frac{x}{5}$ from both sides to get $\frac{x}{2} - \frac{x}{5} = -\frac{1}{5}$. Finding a common denominator for the fractions involving $x$, which is 10, gives $\frac{5x}{10} - \frac{2x}{10} = -\frac{1}{5}$, simplifying to $\frac{3x}{10} = -\frac{1}{5}$. Multiplying both sides by 10/3 to solve for $x$ gives $x = -\frac{2}{3}$.

Find Which Values of X Are Solutions x2+15=x5\frac { x } { 2 } + \frac { 1 } { 5 } = \frac { x } { 5 }2x​+51​=5x​

Find Which Values of X Are Solutions $\frac { x } { 2 } + \frac { 1 } { 5 } = \frac { x } { 5 }$