Question
Solve the equation.
A. The solution set is
. (Simplify your answer.)
B. There is no solution.
A. The solution set is
B. There is no solution.
Ask by Johnston Carter. in the United States
Jan 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The solution is
.
Solution
To solve the equation:
Step 1: Cross-Multiply
Multiply both sides of the equation by
to eliminate the denominators:
Step 2: Distribute
Expand both sides:
Step 3: Solve for
Subtract
from both sides:
Add
to both sides:
Step 4: Check for Validity
Ensure that the solution does not make any denominator zero:
-
For
: -
For
:
Since neither denominator is zero when
, the solution is valid.
Answer:
A. The solution set is
.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
To solve the equation
, we start by cross-multiplying:
Expanding both sides gives:
Now, we rearrange the equation:
So we have:
Thus, the solution set is
.
The solution set is
.