Solve z=218-36m/22

$$z= \frac{ 218-36m }{ 22 }$$

Solve for m

$$m=\frac{109-11z}{18}$$

Steps for Solving Linear Equation

Divide each term of 218-36m by 22 to get \frac{109}{11}-\frac{18}{11}m.

$$z=\frac{109}{11}-\frac{18}{11}m$$

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

$$\frac{109}{11}-\frac{18}{11}m=z$$

Subtract \frac{109}{11} from both sides.

$$-\frac{18}{11}m=z-\frac{109}{11}$$

Divide both sides of the equation by -\frac{18}{11}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{18}{11}m}{-\frac{18}{11}}=\frac{z-\frac{109}{11}}{-\frac{18}{11}}$$

Dividing by -\frac{18}{11} undoes the multiplication by -\frac{18}{11}.

$$m=\frac{z-\frac{109}{11}}{-\frac{18}{11}}$$

Divide z-\frac{109}{11} by -\frac{18}{11} by multiplying z-\frac{109}{11} by the reciprocal of -\frac{18}{11}.

$$m=\frac{109-11z}{18}$$

Solve for z

$$z=\frac{109-18m}{11}$$

Solution Steps

Divide each term of 218-36m by 22 to get \frac{109}{11}-\frac{18}{11}m.

$$z=\frac{109}{11}-\frac{18}{11}m$$