Solve y+4=2/5(x-3)

$$y + 4 = \frac { 2 } { 5 } ( x - 3 )$$

Solve for x

$$x=\frac{5y}{2}+13$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{2}{5} by x-3.

$$y+4=\frac{2}{5}x-\frac{6}{5}$$

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

$$\frac{2}{5}x-\frac{6}{5}=y+4$$

Add \frac{6}{5} to both sides.

$$\frac{2}{5}x=y+4+\frac{6}{5}$$

Add 4 and \frac{6}{5} to get \frac{26}{5}.

$$\frac{2}{5}x=y+\frac{26}{5}$$

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

$$\frac{\frac{2}{5}x}{\frac{2}{5}}=\frac{y+\frac{26}{5}}{\frac{2}{5}}$$

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

$$x=\frac{y+\frac{26}{5}}{\frac{2}{5}}$$

Divide y+\frac{26}{5} by \frac{2}{5} by multiplying y+\frac{26}{5} by the reciprocal of \frac{2}{5}.

$$x=\frac{5y}{2}+13$$

Solve for y

$$y=\frac{2\left(x-13\right)}{5}$$

Solution Steps

Use the distributive property to multiply \frac{2}{5} by x-3.

$$y+4=\frac{2}{5}x-\frac{6}{5}$$

Subtract 4 from both sides.

$$y=\frac{2}{5}x-\frac{6}{5}-4$$

Subtract 4 from -\frac{6}{5} to get -\frac{26}{5}.

$$y=\frac{2}{5}x-\frac{26}{5}$$