MelaneeI48848 MelaneeI48848
  • 31-10-2022
  • Mathematics
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3.3 I can solve equations containing ratios and/or multiplying binomials.Solve the following equation for x. Show all your work.

33 I can solve equations containing ratios andor multiplying binomialsSolve the following equation for x Show all your work class=

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RuthyF182574 RuthyF182574
  • 31-10-2022

The given expression :

[tex]\frac{-2}{x-4}=\frac{4}{1-x}[/tex]

To solve the expression :

[tex]\begin{gathered} \frac{-2}{x-4}=\frac{4}{1-x} \\ \text{ Crossmultiply} \\ -2(1-x)=4(x-4) \\ -2+2x=4x-16 \\ 4x-2x=16-2 \\ 2x=14 \\ x=7 \end{gathered}[/tex]

Answer : x = 7

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