Solve the equation.
-$$7 - \frac { 6 } { x } = \frac { 7 x } { x + 6 }$$
A) $\{ 1 \}$
B) $\{ 0,1 \}$
C) $\{ - 1,1 \}$
D) $\{ - 1 \}$

Question

Quizplus · Accepted Answer

To solve the equation $7 - \frac{6}{x} = \frac{7x}{x + 6}$, first find a common denominator to combine the fractions. The common denominator is $x(x + 6)$. Multiply both sides by this to clear the fractions, leading to a quadratic equation. Solving the quadratic equation yields $x = 1$ as the only solution.

Solve the Equation 7−6x=7xx+67 - \frac { 6 } { x } = \frac { 7 x } { x + 6 }7−x6​=x+67x​

Solve the Equation $7 - \frac { 6 } { x } = \frac { 7 x } { x + 6 }$