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

Simplify the left side.

Apply the distributive property.

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 .

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.

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

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

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.

Solve by Linear Combination 2x+3y=2 x+6y=4