Questions: x/2 + x/7 = 9

Solution Steps

To solve the equation $\frac{x}{2} + \frac{x}{7} = 9$, we need to find a common denominator for the fractions on the left side. The common denominator of 2 and 7 is 14. Rewrite each fraction with this common denominator, combine them, and then solve for $x$.

To solve the equation $\frac{x}{2} + \frac{x}{7} = 9$, we first find a common denominator for the fractions. The least common denominator of 2 and 7 is 14.

Rewrite each fraction with the common denominator: $$\frac{7x}{14} + \frac{2x}{14} = 9$$

Combine the fractions on the left side: $$\frac{9x}{14} = 9$$

To solve for $x$, multiply both sides by 14 to eliminate the fraction: $$9x = 126$$ Then, divide both sides by 9: $$x = \frac{126}{9} = 14$$

Final Answer