Solve the equation.
-$$\frac { x } { 2 } = \frac { x } { 7 } + \frac { 9 } { 2 }$$
A) $\left\{ \frac { 63 } { 5 } \right\}$
B) $\left\{ - \frac { 9 } { 2 } \right\}$
C) 0
D) $\left\{ \frac { 5 } { 63 } \right\}$

Question

Quizplus · Accepted Answer

To solve the equation $\frac{x}{2} = \frac{x}{7} + \frac{9}{2}$, first get all terms involving $x$ on one side and constants on the other. Subtract $\frac{x}{7}$ from both sides to get $\frac{x}{2} - \frac{x}{7} = \frac{9}{2}$. Find a common denominator for the fractions involving $x$, which is 14, and rewrite the equation: $\frac{7x}{14} - \frac{2x}{14} = \frac{9}{2}$. Simplify the left side to get $\frac{5x}{14} = \frac{9}{2}$. Multiply both sides by 14 to isolate $x$: $5x = 63$. Finally, divide by 5 to solve for $x$: $x = \frac{63}{5}$.

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