Solve 6x-2y+15=0

$$6 x - 2 y + 15 = 0$$

Solve for x

$$x=\frac{y}{3}-\frac{5}{2}$$

Steps for Solving Linear Equation

Add 2y to both sides. Anything plus zero gives itself.

$$6x+15=2y$$

Subtract 15 from both sides.

$$6x=2y-15$$

Divide both sides by 6.

$$\frac{6x}{6}=\frac{2y-15}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$x=\frac{2y-15}{6}$$

Divide 2y-15 by 6.

$$x=\frac{y}{3}-\frac{5}{2}$$

Solve for y

$$y=3x+\frac{15}{2}$$

Steps for Solving Linear Equation

Subtract 6x from both sides. Anything subtracted from zero gives its negation.

$$-2y+15=-6x$$

Subtract 15 from both sides.

$$-2y=-6x-15$$

Divide both sides by -2.

$$\frac{-2y}{-2}=\frac{-6x-15}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$y=\frac{-6x-15}{-2}$$

Divide -6x-15 by -2.

$$y=3x+\frac{15}{2}$$