Question
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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

Ask by Hill Bryant. in the United States
Jan 26,2025

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Answer

The solution to the equation is , with the condition that .

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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 !

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