Rearrange formulas to highlight a chosen quantity across the expression types studied.
Rearrange a rational formula to isolate a variable in the denominator
Problem
In \(y~=~k/x\), isolate \(x\). State the conditions required for \(\text{one}\) nonzero \(x\) equivalent to the original formula.
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What this problem is really about
Start by recording that the original denominator variable cannot be zero. Clear that denominator to expose a product, then divide by the other factor to isolate the target. The new divisor must also be nonzero, and the numerator condition must guarantee that the resulting target still respects its original nonzero requirement.
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