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how would you solve 3/x-3=11

 May 15, 2017

Best Answer 

 #6
avatar+9481 
+3

*edit* Oh I see it now smiley

 

\(\frac{x}{x-3}=11\)

 

Multiplty both sides by (x-3)

x = 11(x - 3)

 

Distribute the 11.

x = 11x - 33

 

Subtract 11x from both sides.

x - 11x = -33

-10x = -33

 

Divide both sides by -10.

\(x=\frac{-33}{-10}\)

x = 3,3

 May 15, 2017
edited by hectictar  May 15, 2017
 #1
avatar+41 
0

x/x-3=11*********

 May 15, 2017
 #2
avatar+9481 
+3

\(\frac3x-3=11\)

 

Add 3 to both sides of the equation.

\(\frac3x=14\)

 

Multiply both sides of the equation by x.

\(3=14x\)

 

Divide both sides of the equation by 14.

\(\frac{3}{14}=x\)

 May 15, 2017
 #3
avatar+41 
+1

Im a really sorry but i accidently misstyped, really glad that you answered, and i tried to correct my misstype in the comments but you might not have seen it, the equation i was trying to solve was x/x-3=11


Really happy that you replied on the previous question :)

kilander  May 15, 2017
 #4
avatar+9481 
+3

Oh okay...well that is a bit different! smiley

 

x/x - 3 = 11

 

As long as x ≠ 0,    x/x = 1      (If x = 0, it is undefined.)

 

...so that means this "equation" says

1 - 3 = 11

-2 = 11

 

Which is false, so there is no solution!

hectictar  May 15, 2017
 #5
avatar+41 
+1

That's what i thought, but according to the answersheet, the answer should be x=3,3 which is unlogical, which is the reason why i turned here :)

kilander  May 15, 2017
 #6
avatar+9481 
+3
Best Answer

*edit* Oh I see it now smiley

 

\(\frac{x}{x-3}=11\)

 

Multiplty both sides by (x-3)

x = 11(x - 3)

 

Distribute the 11.

x = 11x - 33

 

Subtract 11x from both sides.

x - 11x = -33

-10x = -33

 

Divide both sides by -10.

\(x=\frac{-33}{-10}\)

x = 3,3

hectictar  May 15, 2017
edited by hectictar  May 15, 2017
 #7
avatar+41 
+1

 

 

the answer is on 8 B

kilander  May 15, 2017
 #8
avatar+41 
+1

Thanks alot smiley

kilander  May 15, 2017

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