Solve 2/3*2-1/6=1m/c

$$\frac { 2 } { 3 } \cdot 2 - \frac { 1 } { 6 } = 1 \frac { m } { c }$$

Solve for c

$$c=\frac{6m}{7}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6c, the least common multiple of 3,6,c.

$$\frac{2}{3}\times 2\times 6c+6c\left(-\frac{1}{6}\right)=1\times 6m$$

Multiply \frac{2}{3} and 2 to get \frac{4}{3}.

$$\frac{4}{3}\times 6c+6c\left(-\frac{1}{6}\right)=1\times 6m$$

Multiply \frac{4}{3} and 6 to get 8.

$$8c+6c\left(-\frac{1}{6}\right)=1\times 6m$$

Multiply 6 and -\frac{1}{6} to get -1.

$$8c-c=1\times 6m$$

Combine 8c and -c to get 7c.

$$7c=1\times 6m$$

Multiply 1 and 6 to get 6.

$$7c=6m$$

Divide both sides by 7.

$$\frac{7c}{7}=\frac{6m}{7}$$

Dividing by 7 undoes the multiplication by 7.

$$c=\frac{6m}{7}$$

Variable c cannot be equal to 0.

$$c=\frac{6m}{7}\text{, }c\neq 0$$

Solve for m

$$m=\frac{7c}{6}$$

$$c\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6c, the least common multiple of 3,6,c.

$$\frac{2}{3}\times 2\times 6c+6c\left(-\frac{1}{6}\right)=1\times 6m$$

Multiply \frac{2}{3} and 2 to get \frac{4}{3}.

$$\frac{4}{3}\times 6c+6c\left(-\frac{1}{6}\right)=1\times 6m$$

Multiply \frac{4}{3} and 6 to get 8.

$$8c+6c\left(-\frac{1}{6}\right)=1\times 6m$$

Multiply 6 and -\frac{1}{6} to get -1.

$$8c-c=1\times 6m$$

Combine 8c and -c to get 7c.

$$7c=1\times 6m$$

Multiply 1 and 6 to get 6.

$$7c=6m$$

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

$$6m=7c$$

Divide both sides by 6.

$$\frac{6m}{6}=\frac{7c}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$m=\frac{7c}{6}$$