Question

Find x,if 9-5 7/8=x-1/8​

Answer 1

$\purple{ \huge{ \underline{ \overline{ \mid{ \bold{ \: \:QUESTION\: \: \mid}}}}}}$

$\bold{Find \: \: \: x \: \: ,\: \: If}$

$\boxed{ \bold{9 - \frac{57}{8} = 2x - \frac{1}{8} }}$

$\purple{ \huge{ \underline{ \overline{ \mid{ \bold{ \: \: SOLUTION \: \: \mid}}}}}}$

$\bold{9 - \frac{57}{8} = 2x - \frac{1}{8} } \\ \\ \\ \bold{ = > 2x - \frac{1}{8} = 9 - \frac{57}{8} } \\ \\ \\ \bold{ = > 2x - \frac{1}{8} = \frac{72 - 57}{8} } \\ \\ \\ \bold{ = > 2x - \frac{1}{8} = \frac{15}{8} } \\ \\ \\ \bold{ = > 2x = \frac{15}{8} + \frac{1}{8} }\\ \\ \\ \bold{ = >2x = \frac{15 + 1}{8} } \\ \\ \\ \bold{ = > 2x = \frac{16}{8} } \\ \\ \\ \bold{ = > 2x = 2} \\ \\ \\ \bold{ = > x = \frac{2}{2} } \\ \\ \\ => \boxed { \bold{ \: \: \: \: x = 1 \: \: \: \: }}$

$\purple{ \huge{ \underline{ \overline{ \mid{ \bold{ \: \: VERIFICATION \: \: \mid}}}}}}$

$\underline{ \bold{ \: \: \: x = 1 \: \: }} \\ \\ \\ \bold{L.H.S. = 9 - \frac{57}{8} } \\ \\ \bold{ \: \: \: \: \: \: \: \: = \frac{72 - 57}{8} } \\ \\ \\ \bold{ \: \: \: \: \: \: \: \: \: = \frac{15}{8} }$

$\bold{R.H.S. = 2x - \frac{1}{8} } \\ \\ \\ \bold{ \: \: \: \: \: \: \: \: = 2 \times (1) - \frac{1}{8} } \\ \\ \\ \bold{ \: \: \: \: \: \: \: \: = 2- \frac{1}{8} } \\ \\ \\ \bold{ \: \: \: \: \: \: \: \: = \frac{16 - 1}{8} } \\ \\ \\ \bold{ \: \: \: \: \: \: \: \: = \frac{15}{8} } \\ \\ \\ \bold{ \: \: \: \: \: \: \: \: = L.H.S.}$

$\bold{So,}\\ \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \underline{ \bold{ \: \: L.H.S. = R.H.S.\: \: }}$

$\underline{ \huge{ \boxed{ \bold{ \red{ \: \: value \: \: of \: \: x \: \: = 1 \: \: }}}}}$

Answer 2

$\huge\mathtt{Question}$

$\bold{Find \: \: \: x \: \: ,\: \: If}$

$\boxed{ \bold{9 - \frac{57}{8} = 2x - \frac{1}{8} }}$

$\huge\mathtt{Solution:-}$

$\begin{lgathered}\bold{9 - \frac{57}{8} = 2x - \frac{1}{8} } \\ \\ \\ \bold{ = > 2x - \frac{1}{8} = 9 - \frac{57}{8} } \\ \\ \\ \bold{ = > 2x - \frac{1}{8} = \frac{72 - 57}{8} } \\ \\ \\ \bold{ = > 2x - \frac{1}{8} = \frac{15}{8} } \\ \\ \\ \bold{ = > 2x = \frac{15}{8} + \frac{1}{8} }\\ \\ \\ \bold{ = >2x = \frac{15 + 1}{8} } \\ \\ \\ \bold{ = > 2x = \frac{16}{8} } \\ \\ \\ \bold{ = > 2x = 2} \\ \\ \\ \bold{ = > x = \frac{2}{2} } \\ \\ \\ => \boxed { \bold{ \: \: \: \: x = 1 \: \: \: \: }}\end{lgathered}$

$\huge\mathtt{Verification:-}$

$\begin{lgathered}\underline{ \bold{ \: \: \: x = 1 \: \: }} \\ \\ \\ \bold{L.H.S. = 9 - \frac{57}{8} } \\ \\ \bold{ \: \: \: \: \: \: \: \: = \frac{72 - 57}{8} } \\ \\ \\ \bold{ \: \: \: \: \: \: \: \: \: = \frac{15}{8} }\end{lgathered}$

$\begin{lgathered}\bold{R.H.S. = 2x - \frac{1}{8} } \\ \\ \\ \bold{ \: \: \: \: \: \: \: \: = 2 \times (1) - \frac{1}{8} } \\ \\ \\ \bold{ \: \: \: \: \: \: \: \: = 2- \frac{1}{8} } \\ \\ \\ \bold{ \: \: \: \: \: \: \: \: = \frac{16 - 1}{8} } \\ \\ \\ \bold{ \: \: \: \: \: \: \: \: = \frac{15}{8} } \\ \\ \\ \bold{ \: \: \: \: \: \: \: \: = L.H.S.}\end{lgathered}$

$\begin{lgathered}\bold{So,}\\ \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \underline{ \bold{ \: \: L.H.S. = R.H.S.\: \: }}\end{lgathered}$

$\underline{ \huge{ \boxed{ \bold{ \red{ \: \: value \: \: of \: \: x \: \: = 1 \: \: }}}}}$