Download 11.2 Solving Systems of Linear Equations By Substitution

11.2 Solving Systems of Linear Equations by Substitution
Learning Objectives:
1. Use the substitution method to solve a system of linear equations.
2. Key Vocabulary: substitution method.
Steps to solve linear system by substitution:
1. Solve one of the equations for one of its variable: x or y.
2. Substitute the resulting found in step 1 into the other equation.
3. Solve the equation found in step 2 to find the value of one variable.
4. Substitute the value found step 3 in any original equations containing both variables to find the
value of the other variable.
5. Check the solution by substituting the numerical values of the variables in both original
equations.
Example.
Solve, label type of system and state number of solution.
y
= −1
3
x y 1
+ =
4 6 4
2x +
1.
2.
1
x − 3y = 6
2x − 6y = 8