What is the answer to x/a+x/b+x/c =1 ?

The answer to x/a+x/b+x/c =1 is x=(abc)/(bc+ac+ab);\quad abc\ne 0,a\ne-(bc)/(c+b)

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x/a+x/b+x/c =1

\frac{x}{a} + \frac{x}{b} + \frac{x}{c} = 1

x = \frac{ab c}{b c + a c + ab}; ab c \neq = 0, a \neq = - \frac{b c}{c + b}

Solution steps

\frac{x}{a} + \frac{x}{b} + \frac{x}{c} = 1

Multiply by LCM

b c x + a c x + ab x = ab c; ab c \neq = 0

Factor

b c x + a c x + ab x : x (b c + a c + ab)

x (b c + a c + ab) = ab c; ab c \neq = 0

Divide both sides by

b c + a c + ab; ab c \neq = 0, a \neq = - \frac{b c}{c + b}

x = \frac{ab c}{b c + a c + ab}; ab c \neq = 0, a \neq = - \frac{b c}{c + b}

j, f = 2 i + 5 j + 6 k

x, 5 x^{1} = o^{3} x - 1

l = 2 r

d, z = m o d z + z^{2}

x, x + y + 2 z = 1

What is the answer to x/a+x/b+x/c =1 ?
The answer to x/a+x/b+x/c =1 is x=(abc)/(bc+ac+ab);\quad abc\ne 0,a\ne-(bc)/(c+b)