boyle3758
boyle3758 boyle3758
  • 13-03-2019
  • Mathematics
contestada

Solve the proportional equation: 3/8= 9/b + 10

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VictorZ
VictorZ VictorZ
  • 13-03-2019
Hey.

[tex]\dfrac{3}{8} = \dfrac{9}{b} +10 \\ \\ \implies \dfrac{3}{8} = \dfrac{9+10b}{b} \\ \\ \implies \dfrac{3}{8} \times b = 9+10b \\ \\ \implies b = 9+10b \times \dfrac{8}{3} \\ \\ \implies b= \dfrac{72+80b}{3} \\ \\ \implies 3b = 72 + 80b \\ \\ \implies 3b-80b = 72 \\ \\ \implies -72b = 72 \\ \\ \implies b = -\dfrac{\cancel{72}}{\cancel{72}} \implies \boxed{b = -1 }[/tex]

Thanks.
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