Solving Systems of Linear Equation using Substitution method

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1. SOLVING SYSTEMS OF LINEAR EQUATION IN TWO VARIABLES (SUBSTITUTION METHOD)

2. SYSTEMS OF LINEAR EQUATION Two or more linear equations . A SOLUTION to a system of linear equations in two variables consists of an ordered pair that satisfies both equations .

3. SUBSTITUTION METHOD Solve for one of the variables in one of the equations and then substitute that variable in the other equation .

4. Example: Equation 1 Equation 2 STEP 1: Solve one of the equations either or . Using Equation 1, find the value of x.   (partial value of x)  

5. STEP 2: Substitute the expression into the other equation. Note: We used Equation 1 to get Substitute the partial value of to Equation 2 to find the value of . Equation 2   (partial value of x)   (value of y)  

6. STEP 3: Using the expression obtained in step 1, SUBSTITUTE the value of the variable obtained in step 2. NOTE: In Step 1 , we get and in Step 2 , we found that So, the solution set is .   (partial value of x)   (value of y)