Solve 6x-12y+6=10x-5y+5

$$6 x - 12 y + 6 = 10 x - 5 y + 5$$

Solve for x

$$x=\frac{1-7y}{4}$$

Steps for Solving Linear Equation

Subtract 10x from both sides.

$$6x-12y+6-10x=-5y+5$$

Combine 6x and -10x to get -4x.

$$-4x-12y+6=-5y+5$$

Add 12y to both sides.

$$-4x+6=-5y+5+12y$$

Combine -5y and 12y to get 7y.

$$-4x+6=7y+5$$

Subtract 6 from both sides.

$$-4x=7y+5-6$$

Subtract 6 from 5 to get -1.

$$-4x=7y-1$$

Divide both sides by -4.

$$\frac{-4x}{-4}=\frac{7y-1}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$x=\frac{7y-1}{-4}$$

Divide 7y-1 by -4.

$$x=\frac{1-7y}{4}$$

Solve for y

$$y=\frac{1-4x}{7}$$

Steps for Solving Linear Equation

Add 5y to both sides.

$$6x-12y+6+5y=10x+5$$

Combine -12y and 5y to get -7y.

$$6x-7y+6=10x+5$$

Subtract 6x from both sides.

$$-7y+6=10x+5-6x$$

Combine 10x and -6x to get 4x.

$$-7y+6=4x+5$$

Subtract 6 from both sides.

$$-7y=4x+5-6$$

Subtract 6 from 5 to get -1.

$$-7y=4x-1$$

Divide both sides by -7.

$$\frac{-7y}{-7}=\frac{4x-1}{-7}$$

Dividing by -7 undoes the multiplication by -7.

$$y=\frac{4x-1}{-7}$$

Divide 4x-1 by -7.

$$y=\frac{1-4x}{7}$$