Solve y-4=2/5left(x+1right)

$$y-4 = \frac{ 2 }{ 5 } \left( x+1 \right)$$

Solve for x

$$x=\frac{5y}{2}-11$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{2}{5} by x+1.

$$y-4=\frac{2}{5}x+\frac{2}{5}$$

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

$$\frac{2}{5}x+\frac{2}{5}=y-4$$

Subtract \frac{2}{5} from both sides.

$$\frac{2}{5}x=y-4-\frac{2}{5}$$

Subtract \frac{2}{5} from -4 to get -\frac{22}{5}.

$$\frac{2}{5}x=y-\frac{22}{5}$$

Divide both sides of the equation by \frac{2}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{5}x}{\frac{2}{5}}=\frac{y-\frac{22}{5}}{\frac{2}{5}}$$

Dividing by \frac{2}{5} undoes the multiplication by \frac{2}{5}.

$$x=\frac{y-\frac{22}{5}}{\frac{2}{5}}$$

Divide y-\frac{22}{5} by \frac{2}{5} by multiplying y-\frac{22}{5} by the reciprocal of \frac{2}{5}.

$$x=\frac{5y}{2}-11$$

Solve for y

$$y=\frac{2\left(x+11\right)}{5}$$

Solution Steps

Use the distributive property to multiply \frac{2}{5} by x+1.

$$y-4=\frac{2}{5}x+\frac{2}{5}$$

Add 4 to both sides.

$$y=\frac{2}{5}x+\frac{2}{5}+4$$

Add \frac{2}{5} and 4 to get \frac{22}{5}.

$$y=\frac{2}{5}x+\frac{22}{5}$$