Question

2x+4/5x=8 check in result

Answer 1

✍✍HERE IS YOUR ANSWER..⬇⬇
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$<b><u>If the equation is -$


$\frac{2x + 4}{5x} = 8$


$\underline{SOLUTION}$ ➡

$\frac{2x + 4}{5x} = 8 \\ \\ = > 2x + 4 = 40x \\ \\ = > 2x - 40x = - 4 \\ \\ = > - 38x = - 4 \\ \\ = > x = \frac{ - 4}{ - 38} \\ \\ = > x = \frac{2}{19}$

$\underline{Checking \: \:Result \:: -}$

$x = \frac{2}{19} \\ \\Putting \: \: the \: \:v alue \: \: of \: \: x \: \: in \: lhs \: \: of \: \\ the \: equation, \: \: We \: \: get ,\\ \\ L.H.S.= \frac{2x + 4}{5x} \\ \\ = \frac{2 \times \frac{2}{19} + 4 }{5 \times \frac{2}{19} } \\ \\ = \frac{ \frac{4}{19} + 4 }{ \frac{10}{19} } \\ \\ = \frac{ \frac{4 + 76}{19} }{ \frac{10}{19} } \\ \\ = \frac{ \frac{80}{19} }{ \frac{10}{19} } \\ \\ = \frac{80}{19} \times \frac{19}{10} \\ \\ = 8 \\ \\ = R.H.S.$

$\underline{ANSWER}$ ➡ $\boxed{x = \frac{2}{19} }$
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$<b><u>If the equation is -$

$2x + \frac{4}{5} x = 8$

$\underline{SOLUTION}$ ➡


$2x + \frac{4}{5} x = 8 \\ \\ = > \frac{10x + 4x}{5} = 8 \\ \\ = > \frac{14x}{5} = 8 \\ \\ = > 14x = 40 \\ \\ = > x = \frac{40}{14} \\ \\ = > x = \frac{20}{7}$

$\underline{Checking \: \: Result \: : - }$

$x = \frac{20}{7} \\ \\ Putting \: \: the \: \: value \: \: of \: \: x \: \: in \: L.H.S. \: \:o f \\ the \:equation \: \: ,we \: \: get \\ \\ L.H.S. \: = 2x + \frac{4}{5} x \\ \\ = 2 \times ( \frac{20}{7} ) + \frac{4}{5} \times ( \frac{20}{7} ) \\ \\ = \frac{40}{7} + \frac{16}{7} \\ \\ = \frac{56}{7} \\ \\ = 8 \\ \\ = R.H.S.$

$\underline{ANSWER}$ ➡ $\boxed{x \: = \frac{20}{7} }$

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