Solve 7/3w-6/w=1

$$\frac { 7 } { 3 w } - \frac { 6 } { w } = 1$$

Solve for w

$$w = -\frac{11}{3} = -3\frac{2}{3} \approx -3.666666667$$

Steps for Solving Linear Equation

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

$$7-3\times 6=3w$$

Multiply -3 and 6 to get -18.

$$7-18=3w$$

Subtract 18 from 7 to get -11.

$$-11=3w$$

Swap sides so that all variable terms are on the left hand side.

$$3w=-11$$

Divide both sides by 3.

$$w=\frac{-11}{3}$$

Fraction \frac{-11}{3} can be rewritten as -\frac{11}{3} by extracting the negative sign.

$$w=-\frac{11}{3}$$