Solve for x in the equation; \(\frac{1}{x} + \frac{2}{3x} = \frac{1}{3}\)
Question 1 Report
Solve for x in the equation; \(\frac{1}{x} + \frac{2}{3x} = \frac{1}{3}\)
Answer Details
To solve the equation \(\frac{1}{x} + \frac{2}{3x} = \frac{1}{3}\), we can use the following steps:
Step 1: Find the common denominator.
The denominators in this equation are x and 3x. The common denominator is 3x.
Step 2: Multiply both sides of the equation by the common denominator.
Multiplying both sides by 3x gives:
3 + 2 = x
Step 3: Simplify and solve for x.
Simplifying the left side gives:
5 = x
Therefore, the solution to the equation is x = 5. x = 5, is the correct answer. Options 2, 3, and 4 are incorrect because they do not equal 5.
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