Question

how to solve0.3+0.7/x=0.95

Answer 1

The value of x is 14/13.

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Answer 2

$\huge{\mathcal{Hi\: there!}}$

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$\huge{\mathcal{\underline{\bold{Solution :}}}}$

$\mathsf{ 0.3 + \frac{0.7}{x} = 0.95 } \\ \\ \mathsf{\frac{0.7}{x} = 0.95 - 0.3} \\ \\ \mathsf{ \frac{0.7}{x} = 0.65} \\ \\ \mathsf{0 .65x = 0.7} \\ \\ \mathsf{x = \frac{0.7} {0.65} } \\ \\ \therefore { \boxed{ \bold{x = 1.07}}}$

$\large{\mathcal{\underline{\bold{Verification :}}}}$

Putting the value of x = 1.07 ; we have

$\mathsf{0.3 + \frac{0.7}{x} = 0.95 } \\ \\ \mathsf{0.3 + \frac{0.7}{1.07} = 0.95 } \\ \\ \mathsf{\frac{0.321 + 0.7}{1.07} = 0.95} \\ \\ \mathsf{ \frac{1.021}{1.07} = 0.95} \\ \\ \mathsf{0.95 = 0.95} \\ \\ \therefore{ \bold{LHS \: = \: RHS }}$

Hence , the value of x is 1. 07

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Thanks for the question !

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