Solve (a+b)*1/a=210Rightarrow

$$( a + b ) \cdot \frac { 1 } { a } = 210 \Rightarrow$$

Solve for a

$$a=\frac{b}{209}$$

$$b\neq 0$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by a.

$$\left(a+b\right)\times 1=210a$$

Use the distributive property to multiply a+b by 1.

$$a+b=210a$$

Subtract 210a from both sides.

$$a+b-210a=0$$

Combine a and -210a to get -209a.

$$-209a+b=0$$

Subtract b from both sides. Anything subtracted from zero gives its negation.

$$-209a=-b$$

Divide both sides by -209.

$$\frac{-209a}{-209}=-\frac{b}{-209}$$

Dividing by -209 undoes the multiplication by -209.

$$a=-\frac{b}{-209}$$

Divide -b by -209.

$$a=\frac{b}{209}$$

Variable a cannot be equal to 0.

$$a=\frac{b}{209}\text{, }a\neq 0$$

Solve for b

$$b=209a$$

$$a\neq 0$$

Solution Steps

Multiply both sides of the equation by a.

$$\left(a+b\right)\times 1=210a$$

Use the distributive property to multiply a+b by 1.

$$a+b=210a$$

Subtract a from both sides.

$$b=210a-a$$

Combine 210a and -a to get 209a.

$$b=209a$$