Solve the equation.
-$$\frac { 3 x + 8 } { 2 - x } = \frac { 14 } { 2 - x }$$
A) $\{ - 2 \}$
B) $\{ 2 \}$
C) $\{ 0,2 \}$
D){$\phi$}

Question

Quizplus · Accepted Answer

Since both sides of the equation have the same denominator $(2-x)$, we can equate the numerators: $3x + 8 = 14$. Solving for $x$ gives $x = 2$. However, substituting $x = 2$ back into the original equation results in a division by zero, which is undefined. Therefore, there are no solutions.

Solve the Equation 3x+82−x=142−x\frac { 3 x + 8 } { 2 - x } = \frac { 14 } { 2 - x }2−x3x+8​=2−x14​

Solve the Equation $\frac { 3 x + 8 } { 2 - x } = \frac { 14 } { 2 - x }$