3.1.1 Using Graphs and Tables to Solve Linear Systems - Worksheet
Example 1: Use substitution to determine if the given ordered pair is an element of the solution set for the system of equations. 1. (3, 3) − = + = x y y x (3, 3) 2 3 6 2. (1, − 3) − − =− + =− y x x y (1, 3) 4 7 5 6 3. ( − 2, 2) − − = + = y x x y ( 2, 2) 5 5 10 3 10 2 4. ( − 1, 4) − = − + = y x x y ( 1, 4) 3 6 2 2
Example 2: Use a graph and a table to solve each system. Check your answer. 5. + = − =− y x x y 5 3 5 1 6. + = − =− y x x y 3 6 3 7 7. − = + =− y x x y 0 8 4 24
8.
− =− − = x y 1 4 2 2 x y
Example 3: Classify each system and determine the number of solutions. 9. + = + =− x y x y 7 13 28 4 12 10. − =− − = x y y x 2 3 15 3 2 15 11. − = + = y x y x 8 24 64 9 45 72
12.
+ =− + =− 2 2 10 4 4 16 x y x y
Example 4: 13. Marco is draining his two aquariums. The tanks are the same size. One tank has 7 in. of water in it. It is being drained at a rate of 1 in./min. The other tank has 5 in. of water in it. It is being drained at a rate of 0.5 in./min. After how many minutes will the tanks contain the same amount of water?
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