Question

4/5x+1/5 = 2/5 -4x
solve and verify
​

Answer 1

Given:-

Solve and verify the result of,

4/5x+1/5 = 2/5 -4x

Solution:-

$\frac{4}{5} x + \frac{1}{5} = \frac{2}{5} - 4x$

$or \: \frac{4}{5} x + 4x = \frac{2}{5} - \frac{1}{5}$

$or \: \frac{4x + 20x}{5} = \frac{1}{5}$

$or \: \frac{24}{5} x = \frac{1}{5}$

$or \: x = \frac{1}{24}$

Verification:-

if we put the value of x in both side , we can verify the answer.

if the answer is right then we get, L.HS =R.H.S

$L.H.S = \frac{4}{5} \times \frac{1}{24} + \frac{1}{5}$

$= \frac{1}{30} + \frac{1}{5}$

$= \frac{1 + 6}{30}$

$= \frac{7}{30}$

$R.H.S = \frac{2}{5} - 4x$

$= \frac{2}{5} - 4 \times \frac{1}{24}$

$= \frac{12 - 5}{30}$

$= \frac{7}{30}$

Hence, L.H.S=R.H.S (proved)

Answer 2

Step-by-step explanation:

Given:

$\frac{4x}{5} + \frac{1}{5} = \frac{2}{5} - 4x$

To find: Solve and verify

Solution: To solve the expression

put the terms of x and constant term either side

$\frac{4x}{5} + 4x = \frac{2}{5} - \frac{1}{5 } \\ \\ \frac{4x + 20 {x}}{5} = \frac{2 - 1}{5} \\ \\ 24 x = 1 \\ \\ x = \frac{1}{24}$

Value of x= 1/24

Verification:

Put the value of x in LHS and RHS

$\frac{4}{5} \times \frac{1}{24} + \frac{1}{5} = \frac{2}{5} - 4 \times \frac{1}{24} \\ \\ \frac{1}{30} + \frac{1}{5} = \frac{2}{5} - \frac{1}{6} \\ \\ \frac{1 + 6}{30} = \frac{12 - 5}{30} \\ \\ \frac{7}{30} = \frac{7}{30}$

LHS= RHS

HENCE VERIFIED.

Hope it helps you.

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