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Popular >

(-5x+3)/(7x-9)-(4x+9)/(-7x+9)=2

Solution

\frac{- 5 x + 3}{7 x - 9} - \frac{4 x + 9}{- 7 x + 9} = 2

Solution

x = 2

Solution steps

\frac{- 5 x + 3}{7 x - 9} - \frac{4 x + 9}{- 7 x + 9} = 2

Multiply by LCM

(- 5 x + 3) (- 7 x + 9) + (4 x + 9) (- 7 x + 9) = 2 (7 x - 9) (- 7 x + 9)

Solve

(- 5 x + 3) (- 7 x + 9) + (4 x + 9) (- 7 x + 9) = 2 (7 x - 9) (- 7 x + 9) : x = 2, x = \frac{9}{7}

x = 2, x = \frac{9}{7}

Verify Solutions

Find undefined (singularity) points:

x = \frac{9}{7}

Since the equation is undefined for:

\frac{9}{7}

x = 2

Popular Examples

6/x+3/(x^2)= 9/x

\frac{6}{x} + \frac{3}{x ^{2}} = \frac{9}{x}

8/(x+8)-9=-x/(x+8)

\frac{8}{x + 8} - 9 = - \frac{x}{x + 8}

(3x+10}{5x-1}+2=\frac{x-3)/x

\frac{3 x + 10}{5 x - 1} + 2 = \frac{x - 3}{x}

1/(x^2-x)-x/(x-1)=-3

\frac{1}{x ^{2} - x} - \frac{x}{x - 1} = - 3

- \frac{1}{( x - 2 ) ^{2}} = 0

Frequently Asked Questions (FAQ)

What is the answer to (-5x+3)/(7x-9)-(4x+9)/(-7x+9)=2 ?
The answer to (-5x+3)/(7x-9)-(4x+9)/(-7x+9)=2 is x=2
Solve for x: (-5x+3)/(7x-9)-(4x+9)/(-7x+9)=2
The solution is x=2