Solve \frac{6}{x-1}+\frac{5}{x+1}=\frac{6}{x-1} - ScanMath

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Type your math problem... \frac{6}{x-1}+\frac{5}{x+1}=\frac{6}{x-1}

Question

Solve the equation

x \in \emptyset

Alternative Form

No solution

Evaluate

\frac{6}{x - 1} + \frac{5}{x + 1} = \frac{6}{x - 1}

Find the domain

More Steps

\frac{6}{x - 1} + \frac{5}{x + 1} = \frac{6}{x - 1}, x \in (- \infty, - 1) \cup (- 1, 1) \cup (1, + \infty)

Multiply both sides of the equation by LCD

(\frac{6}{x - 1} + \frac{5}{x + 1}) (x - 1) (x + 1) = \frac{6}{x - 1} \times (x - 1) (x + 1)

Simplify the equation

More Steps

11 x + 1 = \frac{6}{x - 1} \times (x - 1) (x + 1)

Simplify the equation

More Steps

11 x + 1 = 6 x + 6

Move the variable to the left side

11 x + 1 - 6 x = 6

Subtract the terms

More Steps

5 x + 1 = 6

Move the constant to the right side

5 x = 6 - 1

Subtract the numbers

5 x = 5

Divide both sides

\frac{5 x}{5} = \frac{5}{5}

Divide the numbers

x = \frac{5}{5}

Divide the numbers

x = 1

Check if the solution is in the defined range

x = 1, x \in (- \infty, - 1) \cup (- 1, 1) \cup (1, + \infty)

Solution

x \in \emptyset

Alternative Form

No solution

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