Question

Solve the equation -1/x = -7/2 + 2/x​

Answer 1

Answer:

12

Step-by-step explanation:

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Answer 2

Answer:

In the given the equation -1/x = -7/2 + 2/x​, the value of x is 6/7.

Step-by-step explanation:

The given equation is  -1/x = -7/2 + 2/x​

Rewriting the equation,

$-\frac{1}{x} = - \frac{7}{2} + \frac{2}{x}$

multiplying all terms by x,

$-\frac{1}{x}(x) = - \frac{7}{2}(x) + \frac{2}{x}(x)$

we get, $-1 = - \frac{7x}{2} + 2$

Subtracting 2 from both sides,

$-1 - 2= - \frac{7x}{2} + 2-2$

we get, $-3= - \frac{7x}{2}$

multiplying - 2 on both sides,

$-3(-2)= - \frac{7x}{2} (-2)$

we get, $6 = 7x$

Diving both sides by 7,

$\frac{6}{7} = \frac{7x}{7}$

we get, $\frac{6}{7} = x$

Hence, value of x is $\frac{6}{7}$.