Question

solve: 2/3 - y = -1/3 + 5y and verify your result.



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Answer 1

Step-by-step explanation:

$\frac{2}{3} - y = \frac{ - 1}{3} + 5y \\ \\ \frac{2}{3} + \frac{1}{3} = 5y + y \\ \frac{3}{3} = 6y \\ 1 = 6y \\ y = \frac{1}{6}$

VERIFY

PUTTING THE VALUE IN QUESTION

LHS :-

$\frac{2}{3} - y = \frac{2}{3} - \frac{1}{6} = \frac{4 - 1}{6} = \frac{3}{6} = \frac{1}{2}$

RHS:-

$\frac{ - 1}{3} + 5y = \frac{ - 1}{3} + 5( \frac{1}{6} ) = \frac{ - 1}{3} + \frac{5}{6} = \frac{ - 2 + 5}{6} = \frac{3}{6} = \frac{1}{2}$

LHS = RHS

VERIFIED