Question

Please help me in this question
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Answer 1

x = 2

Step By Step Explanation

${ \implies \footnotesize \sf \dfrac{15x}{4} - \dfrac{11}{3} = \dfrac{23}{6} }$

${ \implies \footnotesize \sf \dfrac{3(15x) - 4(11)}{12} = \dfrac{23}{6} }$

${ \implies \footnotesize \sf \dfrac{45x - 44}{12} = \dfrac{23}{6} }$

${ \implies \footnotesize \sf 6(45x - 44)= 23 \times 12 }$

${ \implies \footnotesize \sf 270x - 264= 276 }$

${ \implies \footnotesize \sf 270x = 276 + 264 }$

${ \implies \footnotesize \sf 270x = 540 }$

${ \implies \footnotesize \sf \: \: x = \dfrac{540}{270} }$

${ \implies \large \: \: \: \: \: \bf x =2}$

Verification

${ ~~~~~~~~ \small \sf \dfrac{15 \times 2}{4} - \dfrac{11}{3} = \dfrac{23}{6} }$

${ ~~~~~~~~ \small\sf \dfrac{30}{4} - \dfrac{11}{3} = \dfrac{23}{6} }$

${ ~~~~~~~~ \small\sf \dfrac{90 - 44}{12} = \dfrac{23}{6} }$

${ ~~~~~~~~ \small\sf \dfrac{46}{12} = \dfrac{23}{6} }$

${ ~~~~~~~~ \small \: \: \sf \dfrac{23}{6} = \dfrac{23}{6} \: \: \: \: \: \: \: \: \: \: LHS = RHS _{_{_{ Verified }}}}$