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Popular >

((x-1))/((x-2))-((x-3))/((x-4))=-2/15

Solution

\frac{( x - 1 )}{( x - 2 )} - \frac{( x - 3 )}{( x - 4 )} = - \frac{2}{15}

Solution

x = - 1, x = 7

Solution steps

\frac{( x - 1 )}{( x - 2 )} - \frac{( x - 3 )}{( x - 4 )} = - \frac{2}{15}

Multiply by LCM

15 (x - 1) (x - 4) - 15 (x - 3) (x - 2) = - 2 (x - 2) (x - 4)

Solve

15 (x - 1) (x - 4) - 15 (x - 3) (x - 2) = - 2 (x - 2) (x - 4) : x = - 1, x = 7

x = - 1, x = 7

Verify Solutions

Find undefined (singularity) points:

x = 2, x = 4

Combine undefined points with solutions:

x = - 1, x = 7

Popular Examples

0.1 = \frac{0.4}{n}

solvefor x,(200)/x+(400)/y = 1/2 solve for

x, \frac{200}{x} + \frac{400}{y} = \frac{1}{2}

\frac{3}{e ( 4 n - 3 ) n} = 2

1/(8-(1+3x)^3)=0

\frac{1}{8 - ( 1 + 3 x ) ^{3}} = 0

2/7 =(6x)/(4x+17)

\frac{2}{7} = \frac{6 x}{4 x + 17}

Frequently Asked Questions (FAQ)

What is the answer to ((x-1))/((x-2))-((x-3))/((x-4))=-2/15 ?
The answer to ((x-1))/((x-2))-((x-3))/((x-4))=-2/15 is x=-1,x=7
Solve for x: ((x-1))/((x-2))-((x-3))/((x-4))=-2/15
The solution is x=-1,x=7