,

Subtract from both sides of the equation.

Replace all occurrences of in with .

Simplify .

Simplify each term.

Apply the distributive property.

Multiply by .

Multiply by .

Add and .

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

Add to both sides of the equation.

Add and .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Replace all occurrences of in with .

Simplify .

Simplify each term.

Multiply .

Combine and .

Multiply by .

Move the negative in front of the fraction.

Simplify the expression.

Write as a fraction with a common denominator.

Combine the numerators over the common denominator.

Subtract from .

Move the negative in front of the fraction.

The solution to the system is the complete set of ordered pairs that are valid solutions.

The result can be shown in multiple forms.

Point Form:

Equation Form:

Solve by Substitution 2x+y=1 , x-y=3