,

Move all terms containing to the left side of the equation.

Subtract from both sides of the equation.

Subtract from .

Move all terms not containing to the right side of the equation.

Subtract from both sides of the equation.

Subtract from .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Simplify .

Dividing two negative values results in a positive value.

Factor out of .

Factor out of .

Separate fractions.

Divide by .

Divide by .

Rewrite the equation as .

Simplify .

Multiply by .

Add and .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Simplify .

Multiply by .

Factor out of .

Separate fractions.

Divide by .

Divide by .

Apply the distributive property.

Multiply.

Multiply by .

Multiply by .

Apply the distributive property.

Multiply.

Multiply by .

Multiply by .

Solve in Terms of the Arbitrary Variable z z=0.20x+0.75y , z=2.50x+0.25y