Math, asked by kiki310, 10 months ago


18 -  \frac{3y}{4}  = 11 + y

Answers

Answered by vallabhyerne1206
2

18 -  \frac{3y}{ 4}  = 11 + y  \\  \frac{18 \times 4 - 3y}{4}  = 11 + y \\  72 - 3y = 44+ 4y \\ 72 - 44 = 4y + 3y \\ 28 = 7y \\ y = 28 \div 7 \\ y = 4

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Answered by TRISHNADEVI
68
\underline{\underline{\red{\bold{QUESTION}}}}

 \underline{\bold{To \: \: solve \: \: : }} \: \: \: \: \boxed{ \bold{18 - \frac{3y}{4} = 11 + y}}





\underline{\underline{\red{\bold{SOLUTION \: \: WITH \: \: EXPLAINTION}}}}

 \bold{18 - \frac{ 3 y}{4} = 11 + y} \\ \\ \bold{ = > \frac{72 - 3y}{4} = 11 + y} \\ \\ \bold{ = > 72 - 3y = 4(11 + y)} \\ \\ \bold{ = > 72 - 3y = 44 + 4y} \\ \\ \bold{ = > - 3y - 4y = 44 - 72} \\ \\ = > \bold{ - 7y = - 28} \\ \\ = > \bold{y = \frac{ - 28}{ - 7} } \\ \\ = > \bold{y = 4}

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\underline{\underline{\red{\bold{VERIFICATION}}}}

 \bold{Here ,\: \: \: \: \: \: \: \: \: } \: \: \underline { \bold{ \: \: \: \: y = 4 \: \: \: \: }} \\ \\ \bold{L.H.S.= 18 - \frac{3y}{4} } \\ \\ \bold{ =18 - \frac{3 \times (4)}{4} } \\ \\ \bold{ = 18 - 3} \\ \\ \bold{ = 15} \\ \\ \\ \bold{Again,}\\ \\ \\ \bold{R.H.S. = 11 + y} \\ \\ \bold{ = 11 + 4} \\ \\ \bold{ = 15} \\ \\ \\ \bold{So, \: \: \: \: \: } \: \: \: \underline{ \underline{ \bold{ \: \: \: \: \: \: \: \: \: L.H.S. = R.H.S. \: \: \: \: }}}


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\underline{\underline{\red{\bold{ANSWER}}}} \boxed{ \boxed{ \bold{ \: \: y = 4 \: \: }}}

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\mathfrak{\red{THANKS...}}
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