SOLVING A SYSTEM OF LINEAR EQUATIONS BY SUBSTITUTION
The graphing method for solving a system of linear equations only works well when the ordered pair solution are only integers. Therefore, we need an algebraic method for solving systems of equations. There are two algebraic methods that we can use to solve a system of equations. These are:
I. The Substitution Method
II. The Elimination Method.
This e-book discusses the Substitution Method
The steps involved when solving a system of linear equations are
1. Isolate one variable, x or y, in one of the given equations.
2. Substitute the equation from step 1 into the other equation and
solve for the one variable remaining in that equation.
3. Use the equation from step 1 to find the value of the other
4. Write your solution as an ordered pair.
5. Check the solution.