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

 Jan 24, 2018
 #1
avatar+2338 
+3
\(\frac{-1}{x}=-7\)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.
  
 Jan 24, 2018
edited by TheXSquaredFactor  Jan 24, 2018
 #2
avatar+100483 
+3

-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

 

 

cool cool cool

 Jan 24, 2018

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