# Linear Algebra Examples

,

Subtract from both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by to get .

Simplify each term.

Divide by to get .

Multiply by to get .

Replace all occurrences of with the solution found by solving the last equation for . In this case, the value substituted is .

Simplify the left side.

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by to get .

Combine the numerators over the common denominator.

Simplify each term.

Simplify the numerator.

Factor out of .

Multiply by to get .

Add and to get .

Move to the left of the expression .

Multiply by to get .

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

Add to both sides of the equation.

Add and to get .

Solve for .

Multiply both sides of the equation by .

Simplify the right side.

Multiply by to get .

Multiply by to get .

Divide each term by and simplify.

Divide each term in by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by to get .

Divide by to get .

Replace all occurrences of with the solution found by solving the last equation for . In this case, the value substituted is .

Simplify each term.

Divide by to get .

Multiply by to get .

Subtract from to get .

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