Math, asked by Nehithreddy, 20 days ago

x+5/6 - x+7/9 =x+3/4
pls tell​

Answers

Answered by kumarimadhwi53
3

Answer:

hope it help you

Step-by-step explanation:

thanks me

Attachments:
Answered by Anonymous
37

\tt \blue{ Solution:-}

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

 \blue\leadsto \tt{x +  \frac{5}{6} - x +  \frac{7}{9}  = x +  \frac{3}{4}  }

\blue \leadsto\tt{x  - x+  \frac{5}{6} +  \frac{7}{9}  = x +  \frac{3}{4}  }

\blue\leadsto \tt{ \cancel{x } -  \cancel{x}+  \frac{5 \times 3}{6 \times 3} +  \frac{7 \times 2}{9 \times 2}  = x +  \frac{3}{4}  }

\blue\leadsto \tt{  \frac{15 }{18} +  \frac{14}{18}  = x +  \frac{3}{4}  }

 \blue\leadsto\tt{  \frac{29 }{18}  = x +  \frac{3}{4}  }

\blue\leadsto \tt{  \frac{29 }{18} -  \frac{3}{4}   = x }

\blue\leadsto \tt{  \frac{29  \times 2}{18 \times 2} -  \frac{3 \times 9}{4 \times 9}   = x }

 \blue\leadsto\tt{  \frac{58  }{36} -  \frac{27}{36}   = x }

\blue\leadsto \tt{  \frac{58 \:  -  \: 27  }{36}   = x }

 \footnotesize\boxed{ \blue\leadsto\tt{x= \frac{31  }{36} }}

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

\tt \blue{ Verification:-}

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

\footnotesize\tt{Substitute \: the \: value \: of \: x \: which \: is \:  \frac{31}{36} }

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

 \blue\leadsto \tt{x +  \frac{5}{6} - x +  \frac{7}{9}  = }\tt \blue{ \: x +  \frac{3}{4}  }

 \blue\leadsto \tt{ \frac{31}{36} +  \frac{5}{6} -  \frac{31}{36}  +  \frac{7}{9}}   \:  \:  \:  \:  \:  \:  \tt \blue{\frac{31}{36}  +  \frac{3}{4}  }

 \blue\leadsto \tt{  \cancel\frac{31}{36} -  \cancel \frac{31}{36}+  \frac{5}{6}   +  \frac{7}{9} }  \:  \:  \:  \:  \:   \tt \blue{\frac{31}{36}  +  \frac{3}{4}  }

 \blue\leadsto \tt{ \frac{5}{6}   +  \frac{7}{9}}   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:\tt \blue{  \frac{31}{36}  +  \frac{3}{4}  }

 \blue\leadsto \tt{ \frac{5 \times 3}{6 \times 3}   +  \frac{7 \times 2}{9 \times 2}}   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \tt \blue{  \frac{31}{36}  +  \frac{3 \times 9}{4 \times 9}  }

 \blue\leadsto \tt{ \frac{15}{18}   +  \frac{14}{18}}   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \tt \blue{\frac{31}{36}  +  \frac{27}{36}  }

 \blue\leadsto \tt{ \frac{15 + 14}{18} }  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \tt \blue{  \frac{31 + 27}{36}}

 \blue\leadsto \tt{ \frac{29}{18} }    \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \tt \blue{ \frac{58}{36}}

 \blue\leadsto \tt{ \frac{29}{18}  }   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \tt \blue{\cancel\frac{58}{36}}

 \blue\leadsto \tt{ \frac{29}{18}    \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:   =   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }  \tt \blue{  \frac{29}{18}}

\footnotesize\tt{LHS  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }\footnotesize \tt \blue{ RHS}

\footnotesize\tt{Hence \: , Verified}

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