Solve c/b+c/a=1

$$\frac { c } { b } + \frac { c } { a } = 1$$

Solve for a

$$a=-\frac{bc}{c-b}$$

$$b\neq 0\text{ and }c\neq 0\text{ and }c\neq b$$

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 ab, the least common multiple of b,a.

$$ac+bc=ab$$

Subtract ab from both sides.

$$ac+bc-ab=0$$

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

$$ac-ab=-bc$$

Reorder the terms.

$$-ab+ac=-bc$$

Combine all terms containing a.

$$\left(-b+c\right)a=-bc$$

The equation is in standard form.

$$\left(c-b\right)a=-bc$$

Divide both sides by c-b.

$$\frac{\left(c-b\right)a}{c-b}=-\frac{bc}{c-b}$$

Dividing by c-b undoes the multiplication by c-b.

$$a=-\frac{bc}{c-b}$$

Variable a cannot be equal to 0.

$$a=-\frac{bc}{c-b}\text{, }a\neq 0$$

Solve for b

$$b=-\frac{ac}{c-a}$$

$$a\neq 0\text{ and }c\neq 0\text{ and }c\neq a$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by ab, the least common multiple of b,a.

$$ac+bc=ab$$

Subtract ab from both sides.

$$ac+bc-ab=0$$

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

$$bc-ab=-ac$$

Reorder the terms.

$$-ab+bc=-ac$$

Combine all terms containing b.

$$\left(-a+c\right)b=-ac$$

The equation is in standard form.

$$\left(c-a\right)b=-ac$$

Divide both sides by c-a.

$$\frac{\left(c-a\right)b}{c-a}=-\frac{ac}{c-a}$$

Dividing by c-a undoes the multiplication by c-a.

$$b=-\frac{ac}{c-a}$$

Variable b cannot be equal to 0.

$$b=-\frac{ac}{c-a}\text{, }b\neq 0$$