Solve 2/m2-1+1/1-2=2

$$\frac { 2 } { m 2 - 1 } + \frac { 1 } { 1 - 2 } = 2$$

Solve for m_2

$$m_{2} = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Variable m_{2} cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by m_{2}-1.

$$2-m_{2}+1=2\left(m_{2}-1\right)$$

Add 2 and 1 to get 3.

$$3-m_{2}=2\left(m_{2}-1\right)$$

Use the distributive property to multiply 2 by m_{2}-1.

$$3-m_{2}=2m_{2}-2$$

Subtract 2m_{2} from both sides.

$$3-m_{2}-2m_{2}=-2$$

Combine -m_{2} and -2m_{2} to get -3m_{2}.

$$3-3m_{2}=-2$$

Subtract 3 from both sides.

$$-3m_{2}=-2-3$$

Subtract 3 from -2 to get -5.

$$-3m_{2}=-5$$

Divide both sides by -3.

$$m_{2}=\frac{-5}{-3}$$

Fraction \frac{-5}{-3} can be simplified to \frac{5}{3} by removing the negative sign from both the numerator and the denominator.

$$m_{2}=\frac{5}{3}$$