1. Solving Systems of Equations by Elimination 22 11 Solve by Elimination Solve by Multiplying then Elimination

2. Solve by Elimination  Steps  Add/Subtract one equation to/from the other to eliminate a variable  Solve for the remaining variable  Substitute solution into one of the initial equations  Solve for the other variable  Take the value of x and y and put them in ordered pair form (x,y) 2

3. Solve by Elimination Example 3

4. Solve by Elimination Example (Cont.) 4

5. Multiply, Then Use Elimination  If the coefficients of either variable in the first equation DO NOT match the corresponding coefficients in the second equation:  Multiply one equation by a number that will make one of the coefficients of a variable match in both equations  Follow the elimination steps 5

6. Multiply, Then Use Elimination Example 6

7. Multiply, Then Use Elimination Example (Cont.) 7

8. Another Example  An untrue solution identifies and Inconsistent System  That means the lines won’t cross… 8