WEBVTT

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Here is the problem: 1/x equals 4.

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A linear equation in x: isolate x using inverse operations.

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Start with the equation.

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Multiply both sides by x to clear the fractions. This is only valid where x not equal to 0, so any value that makes it zero is excluded at the end.

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Isolate x.

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So the answer is x equals 1 over 4 approximately 0.25.

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Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

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x equals 0.25: left side equals 4, right side equals 4, which checks out.