Solve the rational equation. $$\frac { 3 } { x } + \frac { 3 } { x - 4 } = \frac { 3 x - 9 } { x - 4 }$$
A) $\left\{ - \frac { 5 } { 2 } , \frac { 1 } { 3 } \right\}$
B) $\{ 4,1 \}$
C) $\{ 1 \}$
D) \{ \}

Question

Quizplus · Accepted Answer

By multiplying through by the common denominator $x(x-4)$ and simplifying, we find that $x = 1$ is the only solution that satisfies the equation.

Solve the Rational Equation 3x+3x−4=3x−9x−4\frac { 3 } { x } + \frac { 3 } { x - 4 } = \frac { 3 x - 9 } { x - 4 }x3​+x−43​=x−43x−9​

Solve the Rational Equation $\frac { 3 } { x } + \frac { 3 } { x - 4 } = \frac { 3 x - 9 } { x - 4 }$