what is the solution to 4/5 + 1/x = 3/10?

nae

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(4/5) + (1/x) = 3/10

How do I start this problem?
 

stapel

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One way to start would be to multiply through by the common denominator, thus getting rid of all of the fractions. Then solve the resulting linear equation.

Eliz.
 

nae

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Jun 18, 2006
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i got x= -2 is this correct?
 

tkhunny

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Personally, I'd encourage you to "start" the problem by simply thinking about it.

'x' is in the denominator. Oh, so 'x' better not be zero (0).

4/5 > 3/10, so that should mean 1/x < 0 and x < 0.
 

stapel

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nae said:
i got x= -2 is this correct?
Plug it back into the original equation and see:

. . .4/5 + 1/[-2]

. . . . .= 4/5 - 1/2

. . . . .= 8/10 - 5/10

. . . . .= (8 - 5)/10

. . . . .= 3/10

The solutions checks.

Eliz.
 
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