Question

Q5. Solve the following rational equation and check answer. $$ \frac{a}{6a} - 9 = \frac{1}{a-6} $$

Name: q5 solve the following rational equation and check answer fraca6a 9 frac1a 6 88761
Uploaded: 2022-09-29T22:00:16-08:00
Duration: 2 min 44 s
Channel: Alaina Plummer
Description: q5 solve the following rational equation and check answer fraca6a 9 frac1a 6 88761

          Q5. Solve the following rational equation and check answer.
$$ \frac{a}{6a} - 9 = \frac{1}{a-6} $$

$q5 solve the following rational equation and check answer fraca6a 9 frac1a 6 88761$

Added by Cheryl F.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Alaina Plummer

09/29/2022

Step 1

Assuming $a \neq 0$, we have: $$ \frac{1}{6} - 9 = \frac{1}{a-6} $$ Step 2: Combine the constants on the left side: $$ \frac{1}{6} - \frac{54}{6} = \frac{1}{a-6} $$ $$ -\frac{53}{6} = \frac{1}{a-6} $$ Step 3: To solve for $a$, we can cross-multiply or take the Show more…

Show all steps