Solve y+6=2/5(x+5)

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

Solve for x

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

Steps for Solving Linear Equation

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

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

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

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

Subtract 2 from both sides.

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

Subtract 2 from 6 to get 4.

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

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

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

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

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

Divide y+4 by \frac{2}{5} by multiplying y+4 by the reciprocal of \frac{2}{5}.

$$x=\frac{5y}{2}+10$$

Solve for y

$$y=\frac{2\left(x-10\right)}{5}$$

Solution Steps

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

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

Subtract 6 from both sides.

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

Subtract 6 from 2 to get -4.

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