Math, asked by gowdahalesh650, 1 month ago

simplify x/12+5/4=2 ​

Answers

Answered by panwarbabita894
1

Answer:

9 is the answer

Step-by-step explanation:

hope it helps...

Attachments:
Answered by TwilightShine
5

Answer -

  • The value of x = 9.

To find -

  • The value of x.

Step-by-step explanation -

 \implies \bf \dfrac{x}{12}  +  \dfrac{5}{4}  = 2

 \implies \bf  \dfrac{x}{12}  = 2 -  \dfrac{5}{4}

 \implies \bf  \dfrac{x}{12}  =  \dfrac{(2 \times 4) - (5 \times 1)}{4}

 \implies \bf  \dfrac{x}{12}  =  \dfrac{8 - 5}{4}

 \implies \bf  \dfrac{x}{12}  =  \dfrac{3}{4}

 \implies \bf 4 \times x = 12 \times 3

 \implies \bf 4x = 36

 \implies \bf x =   \cancel{\dfrac{36}{4} }

 \implies \bf x = 9

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V E R I F I C A T I O N -

  • To check our answer, let's substitute the value of "x" in the equation and see whether LHS = RHS.

 \\

LHS :

 \leadsto  \tt\dfrac{x}{12}  +  \dfrac{5}{4}

  \leadsto \tt\dfrac{9}{12}  +  \dfrac{5}{4}

   \leadsto\tt\dfrac{(9 \times 1) + (5 \times 3)}{12}

 \leadsto \tt \dfrac{9 + 15}{12}

  \leadsto\tt  \cancel{\dfrac{24}{12}}

 \leadsto  \tt\dfrac{2}{1}

 \leadsto \tt2

 \\

RHS :

 \leadsto \tt2

 \\

LHS = RHS.

Hence verified!!

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