Multiply each equation by the value that makes the coefficients of opposite.

Simplify .

Apply the distributive property.

Multiply.

Multiply by .

Multiply by .

Multiply by .

Simplify .

Apply the distributive property.

Multiply.

Multiply by .

Multiply by .

Multiply by .

Add the two equations together to eliminate from the system.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

Substitute the value found for into one of the original equations to solve for .

Multiply by .

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 .

Cancel the common factor.

Divide by .

Divide by .

The solution to the independent system of equations can be represented as a point.

The result can be shown in multiple forms.

Point Form:

Equation Form:

Solve by Addition/Elimination 20x+5y=120 10x+7.5y=80