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# If -1 /x = -7 then x=_____

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If -1/x = -7 then x=________

ansarweb  Jan 24, 2018
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+2075
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 $$\frac{-1}{x}=-7$$ Multiply by x on both sides first so that we get rid of that pesky variable in the denominator. $$-1=-7x$$ Divide by -7 on both sides. $$\frac{1}{7}=x$$ The only forbidden value for x is 0 because that would result in a division-by-0 error. This is a valid solution.
TheXSquaredFactor  Jan 24, 2018
edited by TheXSquaredFactor  Jan 24, 2018
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-1 / x   =  -7

Note  that we can write this as

-1 / x   =  - 7 / 1          flip the fractions over

x / -1   =   1 / -7           multiply both sides by -1

x / 1  =  1 / 7

x   =  1 / 7

CPhill  Jan 24, 2018