coolhi5assassin coolhi5assassin
  • 13-01-2019
  • Mathematics
contestada

−9/4v + 4/5 = 7/8

(Find v as a fraction)

Respuesta :

gmany
gmany gmany
  • 13-01-2019

[tex]-\dfrac{9}{4}v+\dfrac{4}{5}=\dfrac{7}{8}\qquad\text{multiply both sides by common denominator 40}\\\\40\cdot\left(-\dfrac{9}{4}v\right)+40\cdot\dfrac{4}{5}=40\cdot\dfrac{7}{8}\\\\10(-9v)+8\cdot4=5\cdot7\\\\-90v+32=35\qquad\text{subtract 32 from both sides}\\\\-90v=3\qquad\text{divide both sides by (-90)}\\\\v=-\dfrac{3}{90}\\\\\boxed{v=-\dfrac{1}{30}}[/tex]

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