KylanY502973 KylanY502973
  • 29-10-2022
  • Mathematics
contestada

Solve for v.v+2/v-1 =v-2/v+3

Respuesta :

JosedavidN246994 JosedavidN246994
  • 29-10-2022

Given the equation below.

[tex]\frac{v+2}{v-1}=\frac{v-2}{v+3}[/tex]

Cross Multiply

[tex]\begin{gathered} (v+2)(v+3)=(v-2)(v-1) \\ v^2+3v+2v+6=v^2-v-2v+2 \end{gathered}[/tex][tex]v^2+5v+6=v^2-3v+2[/tex][tex]\begin{gathered} collect\text{ like terms} \\ v^2-v^2+5v+3v=2-6 \\ 8v=-4 \\ v=-\frac{4}{8}=-\frac{1}{2} \end{gathered}[/tex]

Hence, the value for v = -1/2

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