Solve 3x-7=3y+4

$$3 x - 7 = 3 y + 4$$

Solve for x

$$x = \frac{11}{3} = 3\frac{2}{3} = 3.6666666666666665$$

Steps for Solving Linear Equation

Add 7 to both sides.

$$3x=3y+4+7$$

Add 4 and 7 to get 11.

$$3x=3y+11$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{3y+11}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{3y+11}{3}$$

Divide 3y+11 by 3.

$$x=y+\frac{11}{3}$$

Solve for y

$$y = -\frac{11}{3} = -3\frac{2}{3} = -3.6666666666666665$$

Steps for Solving Linear Equation

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

$$3y+4=3x-7$$

Subtract 4 from both sides.

$$3y=3x-7-4$$

Subtract 4 from -7 to get -11.

$$3y=3x-11$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{3x-11}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{3x-11}{3}$$

Divide 3x-11 by 3.

$$y=x-\frac{11}{3}$$