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how to solve this problem

1/9 x = 4

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Rick S. | Math tutor - certified to tutor at the college levelMath tutor - certified to tutor at the c...
4.7 4.7 (11 lesson ratings) (11)
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Hello Shirley,
 
I am not entirely sure if you mean to have the x in the denominator or the numerator so I will show you how to solve both.
 
(1/9)x = 4 To solve this multiply both sides of the equation by 9 to eliminate the (1/9) on the right side.
 
9 * (1/9)x = 4 * 9 ... x = 36
 
1/(9x) = 4 Step 1 is to multiply both sides by 9x so that x is no longer in the denominator
 
(9x) * 1/(9x) = 4 * 9x ... 1 = 36x Now divide both sides by 36 to get x by itself
 
1/36 = (36x) / 36 ... 1/36 = x
 
In each case you can plug the answer into the appropriate original equation and check the answer to verify that it is correct.
 
(1/9) * 36 = 4 ... 4 = 4 this works
 
1/(9*(1/36)) = 4 ... 36/9 = 4 ...  4 = 4 this also works in the appropriate equation

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Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
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Hi Shirley;
I am assuming this is...
(1/9)x=4
Let's multiply both sides by 9...
(9)(1/9)x=4(9)
x=36
 
Or perhaps this is...
1/(9x)=4
Let's flip both sides as we proceed to isolate x...
(9x)/1=1/4
9x=1/4
Let's divide both sides by 9...
(9x)/9=(1/4)/9
x=(1/4)/9
x=(1/4)(1/9)
x=1/36

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