spiderman10
Solve the equation 3/2 - 1/x-4 = -2/2x-8 . Use complete sentences to explain how you solved this equation.
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cwrw238
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first you find the LCD of 2, x-4 and 2x-8
do you know why this is?
spiderman10
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is it 2 ?
spiderman10
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hello ? lol
cwrw238
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no
LCD is the lowest common denominate r
that means the lowest term into which each term will divide
here it is 2x - 8
2x - 8 / 2 = x -4
2x - 8 / x - 4 = 2
and of course 2x - 8 / 2x - 8 = 1
spiderman10
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so all the terms will go into 2x-8 ?
cwrw238
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all the denominators will
so we multiply through by 2x - 8:-
|dw:1372281835644:dw|
cwrw238
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oooh - thats a illy mistake of mine
look at the second term
it should be 1 * 2 NOT 1 * x - 4
cwrw238
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so this reduces to
3(x - 4) - 2 = -2
which is easy to solve
cwrw238
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do you understand the mistake i made?
spiderman10
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i got x=4
cwrw238
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right
spiderman10
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thanks
cwrw238
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hold it - 4 cannot be a solution because
1 / x -4 = 1 /4 - 4 = 1/0 which has no value
there are NO solutions to this equation