Solve r+5/r=2/9

$$\frac { r + 5 } { r } = \frac { 2 } { 9 }$$

Solve for r

$$r = -\frac{45}{7} = -6\frac{3}{7} \approx -6.428571429$$

Steps for Solving Linear Equation

Variable r cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 9r, the least common multiple of r,9.

$$9\left(r+5\right)=2r$$

Use the distributive property to multiply 9 by r+5.

$$9r+45=2r$$

Subtract 2r from both sides.

$$9r+45-2r=0$$

Combine 9r and -2r to get 7r.

$$7r+45=0$$

Subtract 45 from both sides. Anything subtracted from zero gives its negation.

$$7r=-45$$

Divide both sides by 7.

$$r=\frac{-45}{7}$$

Fraction \frac{-45}{7} can be rewritten as -\frac{45}{7} by extracting the negative sign.

$$r=-\frac{45}{7}$$