Solve 5+2/z=17/3

$$5 + \frac { 2 } { z } = \frac { 17 } { 3 }$$

Solve for z

$$z=3$$

Steps for Solving Linear Equation

Variable z cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3z, the least common multiple of z,3.

$$3z\times 5+3\times 2=17z$$

Multiply 3 and 5 to get 15.

$$15z+3\times 2=17z$$

Multiply 3 and 2 to get 6.

$$15z+6=17z$$

Subtract 17z from both sides.

$$15z+6-17z=0$$

Combine 15z and -17z to get -2z.

$$-2z+6=0$$

Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$-2z=-6$$

Divide both sides by -2.

$$z=\frac{-6}{-2}$$

Divide -6 by -2 to get 3.

$$z=3$$