Example

Solving m=y1x+5m = \frac{y-1}{x+5} for yy

To solve the formula m=y1x+5m = \frac{y-1}{x+5} for yy: 1. Note restriction: xeq5x eq -5. 2. Clear fractions: Multiply by (x+5)(x+5) to get m(x+5)=y1m(x+5) = y-1. 3. Simplify: mx+5m=y1mx + 5m = y - 1. 4. Isolate yy: Add 11 to both sides to obtain y=mx+5m+1y = mx + 5m + 1. This reinforces the technique of isolating a variable in a rational formula.

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Updated 2026-04-30

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