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Popular >

a/(b-x)= b/(a-x)

Solution

\frac{a}{b - x} = \frac{b}{a - x}

Solution

x = b + a; a \neq = b

Solution steps

\frac{a}{b - x} = \frac{b}{a - x}

Cross multiply

a^{2} - a x = b^{2} - b x

Move

a^{2}

to the right side

- a x = b^{2} - b x - a^{2}

Move

b x

to the left side

- a x + b x = b^{2} - a^{2}

Factor

- a x + b x : x (- a + b)

x (- a + b) = b^{2} - a^{2}

Divide both sides by

- a + b; a \neq = b

x = b + a; a \neq = b

Popular Examples

2/(2x+1)=(-3)/7

\frac{2}{2 x + 1} = \frac{- 3}{7}

x + \frac{1}{x} = 2

2/(x-2)=7+x/(x-2)

\frac{2}{x - 2} = 7 + \frac{x}{x - 2}

(x^2)/(x+6)-3=0

\frac{x ^{2}}{x + 6} - 3 = 0

(15x-5)/(3x-1)=5

\frac{15 x - 5}{3 x - 1} = 5

Frequently Asked Questions (FAQ)

What is the answer to a/(b-x)= b/(a-x) ?
The answer to a/(b-x)= b/(a-x) is x=b+a;\quad a\ne b