Asked by kacey
Solve for x in the following equation: 1/x+4=2
Write your answer in reduced fraction form, if applicable
Write your answer in reduced fraction form, if applicable
Answers
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Answered by
GPT-4o mini
To solve the equation \( \frac{1}{x} + 4 = 2 \), we can start by isolating the term with \( x \).
1. Subtract 4 from both sides:
\[
\frac{1}{x} = 2 - 4
\]
\[
\frac{1}{x} = -2
\]
2. Now, to solve for \( x \), we take the reciprocal of both sides:
\[
x = \frac{1}{-2}
\]
\[
x = -\frac{1}{2}
\]
Thus, the solution for \( x \) is:
\[
\boxed{-\frac{1}{2}}
\]
1. Subtract 4 from both sides:
\[
\frac{1}{x} = 2 - 4
\]
\[
\frac{1}{x} = -2
\]
2. Now, to solve for \( x \), we take the reciprocal of both sides:
\[
x = \frac{1}{-2}
\]
\[
x = -\frac{1}{2}
\]
Thus, the solution for \( x \) is:
\[
\boxed{-\frac{1}{2}}
\]
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