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zavuch27 [327]
3 years ago
5

PLEASE HELP ASAP! Will mark brainliest :)

Mathematics
2 answers:
gavmur [86]3 years ago
7 0

Answer:

x = abc/  (a+b)

Step-by-step explanation:

x/a + x/b = c

Multiply by ab to get rid of the fractions

ab(x/a + x/b) = abc

bx + ax = abc

Factor out an x

x( b+a) = abc

Divide each side by (a+b)

x ( a+b)/ (a+b) = abc/  (a+b)

x = abc/  (a+b)

Vinvika [58]3 years ago
7 0

Answer:

x=\frac{abc}{b+a}

Step-by-step explanation:

So we have:

\frac{x}{a}+\frac{x}{b}=c

And we want to solve for x.

To do so, let's remove the fractions. We can multiply both sides by the LCM of a and b, which is ab. So:

(ab)\frac{x}{a}+\frac{x}{b}=c(ab)

On the left, distribute. On the right, multiply:

\frac{x(ab)}{a}+\frac{x(ab)}{b}=abc

Simplify:

xb+xa=abc

Now, factor out an x on the left:

x(b+a)=abc

Divide both sides by (b+a):

x=\frac{abc}{b+a}

And we're done!

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