Solve x=151-11y/9

$$x = \frac { 151 - 11 y } { 9 }$$

Solve for y

$$y=\frac{151-9x}{11}$$

Steps for Solving Linear Equation

Divide each term of 151-11y by 9 to get \frac{151}{9}-\frac{11}{9}y.

$$x=\frac{151}{9}-\frac{11}{9}y$$

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

$$\frac{151}{9}-\frac{11}{9}y=x$$

Subtract \frac{151}{9} from both sides.

$$-\frac{11}{9}y=x-\frac{151}{9}$$

Divide both sides of the equation by -\frac{11}{9}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{11}{9}y}{-\frac{11}{9}}=\frac{x-\frac{151}{9}}{-\frac{11}{9}}$$

Dividing by -\frac{11}{9} undoes the multiplication by -\frac{11}{9}.

$$y=\frac{x-\frac{151}{9}}{-\frac{11}{9}}$$

Divide x-\frac{151}{9} by -\frac{11}{9} by multiplying x-\frac{151}{9} by the reciprocal of -\frac{11}{9}.

$$y=\frac{151-9x}{11}$$

Solve for x

$$x=\frac{151-11y}{9}$$

Solution Steps

Divide each term of 151-11y by 9 to get \frac{151}{9}-\frac{11}{9}y.

$$x=\frac{151}{9}-\frac{11}{9}y$$