Question
The following rationa equation has denom nators that contain variables.
Keeping the restrictions in mind solve the equation
a. What isiare the value or values of the variable that make(s) the denomin
Keeping the restrictions in mind solve the equation
Ask by Hill Bryant. in the United States
Jan 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The solution to the equation is
, with the condition that
.
Solution

Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.

Answered by UpStudy AI and reviewed by a Professional Tutor
Like
Mind Expander
First, we need to identify the restrictions based on the denominators. The variables in the denominators are
and
, so
cannot be 0 because that would make the denominators undefined. Therefore,
is a crucial restriction in solving the equation.
Now, to solve the equation, we can start by eliminating the fractions. Multiply through by
(the least common multiple of the denominators) to clear out the denominators:
This simplifies to:
Next, rearrange the equation to isolate
:
Now divide both sides by 44:
So the solution is
. Remember, this value doesn’t violate our original restriction of
!