ktoolan
ktoolan ktoolan
  • 26-01-2016
  • Mathematics
contestada

2/x-1 + 8/2x-2 = 7

solve the equation (the answer has to be a fraction)

Respuesta :

Panoyin
Panoyin Panoyin
  • 26-01-2016
[tex]\frac{2}{x - 1} + \frac{8}{2x - 2} = 7[/tex]
[tex]\frac{2}{x - 1} + \frac{2(4)}{2(x) - 2(1)} = 7[/tex]
[tex]\frac{2}{x - 1} + \frac{2(4)}{2(x - 1)} = 7[/tex]
[tex]\frac{2}{x - 1} + \frac{4}{x - 1} = 7[/tex]
[tex]\frac{2 + 4}{x - 1} = 7[/tex]
[tex]\frac{6}{x - 1} = 7[/tex]
[tex]7(x - 1) = 6[/tex]
[tex]7(x) - 7(1) = 6[/tex]
[tex]7x - 7 = 6[/tex]
[tex]7x = 13[/tex]
[tex]\frac{7x}{7} = \frac{13}{7}[/tex]
[tex]x = 1\frac{6}{7}[/tex]
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