2 multiple choice 1 point solve the equation. $\frac{5}{x}+\frac{2}{5}=\frac{7}{x}$ {-2} {5} {-5} {2}

2 multiple choice 1 point solve the equation. $\frac{5}{x}+\frac{2}{5}=\frac{7}{x}$ {-2} {5} {-5} {2}

2 multiple choice 1 point solve the equation. $\frac{5}{x}+\frac{2}{5}=\frac{7}{x}$ {-2} {5} {-5} {2}

Answer

Explanation:

Step1: Move terms with x to one - side

Subtract $\frac{5}{x}$ from both sides of the equation $\frac{5}{x}+\frac{2}{5}=\frac{7}{x}$, we get $\frac{2}{5}=\frac{7}{x}-\frac{5}{x}$.

Step2: Combine the fractions on the right - hand side

$\frac{7}{x}-\frac{5}{x}=\frac{7 - 5}{x}=\frac{2}{x}$, so $\frac{2}{5}=\frac{2}{x}$.

Step3: Cross - multiply

Cross - multiplying gives $2x = 2\times5$.

Step4: Solve for x

Dividing both sides of $2x=10$ by 2, we have $x = 5$.

Answer:

B. [5]