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# 7.2 Solving Systems by Elimination

7.2 Solving Systems by Elimination. When solving a 2-variable linear system, the method of ELIMINATION is often quickest: Obtain coefficients for x (or y) that differ only in sign by multiplying one or both equations by a constant

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## 7.2 Solving Systems by Elimination

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1. 7.2Solving SystemsbyElimination

2. When solving a 2-variable linear system, the method of • ELIMINATION is often quickest: • Obtain coefficients for x (or y) that differ only in sign by • multiplying one or both equations by a constant • 2. Add the equations to eliminate one variable; then solve the • resulting equation • 3. Back-substitute your answer from step 2 into either of the • original equations; then solve for the other variable. • 4. CHECK your work by substitution !!!

3. p. 515 # 13: Solve the system by elimination:

4. Does every system have one unique solution?

5. p. 515 #19

6. Homework 7.2 page 515 # 3, 13, 19, 25, 35, 45, 51

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