Solve 4(x-1)+2(y-1)=0

$$4(x-1)+2(y-1)=0$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x-1.

$$4x-4+2\left(y-1\right)=0$$

Use the distributive property to multiply 2 by y-1.

$$4x-4+2y-2=0$$

Subtract 2 from -4 to get -6.

$$4x-6+2y=0$$

Add 6 to both sides. Anything plus zero gives itself.

$$4x+2y=6$$

Subtract 2y from both sides.

$$4x=6-2y$$

Divide both sides by 4.

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

Dividing by 4 undoes the multiplication by 4.

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

Divide 6-2y by 4.

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

Solve for y

$$y=3-2x$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x-1.

$$4x-4+2\left(y-1\right)=0$$

Use the distributive property to multiply 2 by y-1.

$$4x-4+2y-2=0$$

Subtract 2 from -4 to get -6.

$$4x-6+2y=0$$

Subtract 4x from both sides. Anything subtracted from zero gives its negation.

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

Add 6 to both sides.

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

The equation is in standard form.

$$2y=6-4x$$

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide -4x+6 by 2.

$$y=3-2x$$