what's the answer for proportions 5/r-9=8/r+5

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29-10-2022
Mathematics

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what's the answer for proportions 5/r-9=8/r+5

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JiaL672897 JiaL672897 · Answer 1 · 2022-10-29T09:11:39+02:00

Is it like this ?

[tex]\text{ }\frac{5}{r\text{ - 9}}\text{ = }\frac{8}{r\text{ + 5}}\text{ ???}[/tex][tex]\begin{gathered} \text{ 8(r - 9) = 5(r + 5)} \\ \text{ 8r - 72 = 5r + 25} \end{gathered}[/tex][tex]\begin{gathered} \text{ 8r - 5r = 72 + 25} \\ \text{ 3r = 97} \\ \text{ r = }\frac{97}{3} \end{gathered}[/tex]

The result is r = 97/3