Question

Solve 3x + 1/5 = 2-x​

Answer 1

Step-by-step explanation:

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Answer 2

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Solution

We have:

$3x + \frac{1}{5} = 2 - x$

$= 3x + x = 2 - \frac{1}{5}$

$= 4x = \frac{9}{5}$

$x = \frac{1}{4} \times \frac{9}{5}$

$= x = \frac{9}{20}$

$thus \: x \: = \frac{9}{20} \: is \: a \: solution \: of \: the \\ given \: equation.$

Check

$substituting \: x = \frac{9}{20 \: } \: in \: the \: \\ given \: equation \: w e \: get$

LHS

$= 3 \times \frac{9}{20} + \frac{1}{5} = \frac{27}{20} + \frac{1}{5} = \frac{31}{2}$

RHS

$= 2 - \frac{9}{20} = \frac{31}{2}$

Therefore LHS = RHS.

$hence \: \: x \: = \frac{9}{20} \: is \: a \: solution \: of \: \\ the \: given \: equation.$