Solve a/1+a20=1/254*5

$$\frac{ a }{ 1+a20 } = \frac{ 1 }{ 254 \cdot 5 }$$

Solve for a_20

$$a_{20}=1270a-1$$

$$a\neq 0$$

Steps for Solving Linear Equation

Variable a_{20} cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by a_{20}+1.

$$a=\frac{1}{1270}a_{20}+\frac{1}{1270}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{1270}a_{20}+\frac{1}{1270}=a$$

Subtract \frac{1}{1270} from both sides.

$$\frac{1}{1270}a_{20}=a-\frac{1}{1270}$$

Multiply both sides by 1270.

$$\frac{\frac{1}{1270}a_{20}}{\frac{1}{1270}}=\frac{a-\frac{1}{1270}}{\frac{1}{1270}}$$

Dividing by \frac{1}{1270} undoes the multiplication by \frac{1}{1270}.

$$a_{20}=\frac{a-\frac{1}{1270}}{\frac{1}{1270}}$$

Divide a-\frac{1}{1270} by \frac{1}{1270} by multiplying a-\frac{1}{1270} by the reciprocal of \frac{1}{1270}.

$$a_{20}=1270a-1$$

Variable a_{20} cannot be equal to -1.

$$a_{20}=1270a-1\text{, }a_{20}\neq -1$$

Solve for a

$$a=\frac{a_{20}+1}{1270}$$

$$a_{20}\neq -1$$

Solution Steps

Multiply both sides of the equation by a_{20}+1.

$$a=\frac{1}{1270}a_{20}+\frac{1}{1270}$$