# How do you solve #5/(r - 9) = 8/(r + 5)#?

From here, distribute and solve.

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To solve the equation 5/(r - 9) = 8/(r + 5), you can cross-multiply to eliminate the denominators. This gives you 5(r + 5) = 8(r - 9). Simplify the equation by distributing the numbers: 5r + 25 = 8r - 72. Next, isolate the variable by moving all terms with r to one side and the constant terms to the other side. Subtract 5r from both sides: 25 = 3r - 72. Then, add 72 to both sides: 97 = 3r. Finally, divide both sides by 3 to solve for r: r = 97/3.

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