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# easy math problem

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how would you solve 3/x-3=11

kilander  May 15, 2017

#6
+4174
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*edit* Oh I see it now

$$\frac{x}{x-3}=11$$

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
Sort:

#1
+26
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x/x-3=11*********

kilander  May 15, 2017
#2
+4174
+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.

$$\frac{3}{14}=x$$

hectictar  May 15, 2017
#3
+26
+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
+4174
+3

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

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
+26
+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
+4174
+3

*edit* Oh I see it now

$$\frac{x}{x-3}=11$$

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
+26
+1

the answer is on 8 B

kilander  May 15, 2017
#8
+26
+1

Thanks alot

kilander  May 15, 2017

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