Solve 2y-1=6x-4

$$2 y - 1 = 6 x - 4$$

Solve for x

$$x=\frac{y}{3}+\frac{1}{2}$$

Steps for Solving Linear Equation

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

$$6x-4=2y-1$$

Add 4 to both sides.

$$6x=2y-1+4$$

Add -1 and 4 to get 3.

$$6x=2y+3$$

Divide both sides by 6.

$$\frac{6x}{6}=\frac{2y+3}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$x=\frac{2y+3}{6}$$

Divide 2y+3 by 6.

$$x=\frac{y}{3}+\frac{1}{2}$$

Solve for y

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

Steps for Solving Linear Equation

Add 1 to both sides.

$$2y=6x-4+1$$

Add -4 and 1 to get -3.

$$2y=6x-3$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{6x-3}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{6x-3}{2}$$

Divide 6x-3 by 2.

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