Question

solve the following equation and check the result
-6x=14/23
$first \: take \: rhs \: then \: lhs \: and \: check \: if \: rhs = lhs \: then \: the \: equation \: is \: right$
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Answer 1

$- 6x = \frac{14}{23} \\ implies - 6x \times 23 = 14 \\ implies \: - 138x = 14 \\ implies \: x = \frac{14}{ - 138} \\ implies \: x = \frac{7}{ - 69}$

Now check

$- 6x \\ = - 6 \times \frac{7}{ - 69} \\ = \frac{ - 42}{ - 69 } \\ = \frac{14}{23}$

So , equation is right

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