Question

If the expressions1/5 (5x-1) and (8x+1)
are equal, find the value of each of these
expressions.​

Answer 1

Answer:

$\frac{1}{5}(5x-1)=8x+1$

$\implies 5x-1 =5(8x+1)$

$\implies 5x-1 =40x+5$

$\implies -5-1 =40x-5x$

$\implies -6=35x$

$\implies x = \frac{-6}{35}$

$Value \: of \:the \: expression \\ \frac{1}{5}(5x-1)=\frac{1}{5}\times \left( 5\times \frac{-6}{35}-1\right)$

$=\frac{1}{5}\times \left( \frac{-6}{7}-1\right)$

$=\frac{1}{5}\times \left( \frac{-6-7}{7}\right)\\=\frac{-13}{35}\:--(1)$

$Value \: of \:the \: expression \\(8x+1)=8\times \frac{-6}{35}+1\\=\frac{-48}{35}-1\\=\frac{-48+35}{35}\\=\frac{-13}{35}\:---(2)$

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