# Algebra Examples

,

Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.

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

Add and to get .

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

Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.

Add and 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 .

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

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 the numerator.

Multiply by to get .

Multiply by to get .

Add and to get .

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