Solve y+2=4/9(x+1)

$$y + 2 = \frac { 4 } { 9 } ( x + 1 )$$

Solve for x

$$x=\frac{9y}{4}+\frac{7}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{4}{9} by x+1.

$$y+2=\frac{4}{9}x+\frac{4}{9}$$

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

$$\frac{4}{9}x+\frac{4}{9}=y+2$$

Subtract \frac{4}{9} from both sides.

$$\frac{4}{9}x=y+2-\frac{4}{9}$$

Subtract \frac{4}{9} from 2 to get \frac{14}{9}.

$$\frac{4}{9}x=y+\frac{14}{9}$$

Divide both sides of the equation by \frac{4}{9}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{4}{9}x}{\frac{4}{9}}=\frac{y+\frac{14}{9}}{\frac{4}{9}}$$

Dividing by \frac{4}{9} undoes the multiplication by \frac{4}{9}.

$$x=\frac{y+\frac{14}{9}}{\frac{4}{9}}$$

Divide y+\frac{14}{9} by \frac{4}{9} by multiplying y+\frac{14}{9} by the reciprocal of \frac{4}{9}.

$$x=\frac{9y}{4}+\frac{7}{2}$$

Solve for y

$$y=\frac{4x-14}{9}$$

Solution Steps

Use the distributive property to multiply \frac{4}{9} by x+1.

$$y+2=\frac{4}{9}x+\frac{4}{9}$$

Subtract 2 from both sides.

$$y=\frac{4}{9}x+\frac{4}{9}-2$$

Subtract 2 from \frac{4}{9} to get -\frac{14}{9}.

$$y=\frac{4}{9}x-\frac{14}{9}$$