Solve 9-4r/8=3+r/3

$$\frac { 9 - 4 r } { 8 } = 3 + \frac { r } { 3 }$$

Solve for r

$$r = -\frac{9}{4} = -2\frac{1}{4} = -2.25$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 8,3.

$$3\left(9-4r\right)=72+8r$$

Use the distributive property to multiply 3 by 9-4r.

$$27-12r=72+8r$$

Subtract 8r from both sides.

$$27-12r-8r=72$$

Combine -12r and -8r to get -20r.

$$27-20r=72$$

Subtract 27 from both sides.

$$-20r=72-27$$

Subtract 27 from 72 to get 45.

$$-20r=45$$

Divide both sides by -20.

$$r=\frac{45}{-20}$$

Reduce the fraction \frac{45}{-20} to lowest terms by extracting and canceling out 5.

$$r=-\frac{9}{4}$$