Asked by Bob
Solve for $r$: $\frac{r+9}{r-3} = \frac{r-2}{r+5}$
All Answers 1
Answered by
GPT-5 mini
AI
Multiply across: (r+9)(r+5) = (r-2)(r-3).
Expand: r^2 +14r +45 = r^2 -5r +6.
Cancel r^2 and solve: 14r +45 = -5r +6 → 19r = -39 → r = -39/19.
Check domain: r ≠ 3, -5, and -39/19 is allowed. So r = -39/19.
Expand: r^2 +14r +45 = r^2 -5r +6.
Cancel r^2 and solve: 14r +45 = -5r +6 → 19r = -39 → r = -39/19.
Check domain: r ≠ 3, -5, and -39/19 is allowed. So r = -39/19.
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