Solve 3/a-1=2/2-a

$$\frac { 3 } { a - 1 } = \frac { 2 } { 2 - a }$$

Solve for a

$$a = \frac{8}{5} = 1\frac{3}{5} = 1.6$$

Steps for Solving Linear Equation

Variable a cannot be equal to any of the values 1,2 since division by zero is not defined. Multiply both sides of the equation by \left(a-2\right)\left(a-1\right), the least common multiple of a-1,2-a.

$$\left(a-2\right)\times 3=\left(1-a\right)\times 2$$

Use the distributive property to multiply a-2 by 3.

$$3a-6=\left(1-a\right)\times 2$$

Use the distributive property to multiply 1-a by 2.

$$3a-6=2-2a$$

Add 2a to both sides.

$$3a-6+2a=2$$

Combine 3a and 2a to get 5a.

$$5a-6=2$$

Add 6 to both sides.

$$5a=2+6$$

Add 2 and 6 to get 8.

$$5a=8$$

Divide both sides by 5.

$$a=\frac{8}{5}$$