Question

solve the equation and verify your result :-2x-1/3=1/6-x
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Answer 1

Answer:

proved 6x-1=6x-1

Step-by-step explanation:

solved stp by stp

chk solved pic

Answer 2

Answer:

$x = \frac{1}{6}$

and

$lhs = rhs$

Step-by-step explanation:

Given that

$2x - \frac{1}{3} = \frac{1}{6} - x$

To solve and verify

Solution

Let

rhs as right hand side

lhs as left hand side

hence

by cross multiplication we get

$\frac{6x -1}{3} = \frac{1 - 6x}{6}$

Swap the denominators we get

$6 \times (6x - 1) = 3 \times (1 - 6x)$

by multiplication we get

$36x - 6 =3 - 18x$

$36x + 18x = 3 + 6$

$54x = 9$

$x = \frac{9}{54}$

54 is divisible by 9 hence

$x = \frac{1}{6}$

To verify equation take lhs and rhs

$2 \times \frac{1}{6} - \frac{1}{3} = \frac{1}{6} - \frac{1}{6}$

as pe cross multiplication

$\frac{1}{3} - \frac{1}{3} = \frac{1}{6} - \frac{1}{6}$

$0 = 0$

hence

$lhs = rhs$