Solve the equation.
-$\frac { a } { a - 5 } = \frac { 5 } { a - 5 } - \frac { 5 } { 2 }$
A) $\frac { 5 } { 2 }$
B)1
C) $- \frac { 5 } { 2 }$
D)no solution

Question

Quizplus · Accepted Answer

The equation has a common denominator of $a - 5$ across the fractions on the left and the first fraction on the right. When attempting to solve, you'll find that the terms involving $a$ cancel out, leaving an equation that simplifies to $0 = -\frac{5}{2}$, which is a contradiction. This indicates that there is no value of $a$ that satisfies the original equation, hence there is no solution.

Solve the Equation aa−5=5a−5−52\frac { a } { a - 5 } = \frac { 5 } { a - 5 } - \frac { 5 } { 2 }a−5a​=a−55​−25​

Solve the Equation $\frac { a } { a - 5 } = \frac { 5 } { a - 5 } - \frac { 5 } { 2 }$