3.1.1 Using Graphs and Tables to Solve Linear Systems - Practice
1. Using substitution, identify the ordered pair that is not an element of the solution set of the system of equations. 3 x − y = 2 6 x − 2 y = 4
2. Using substitution, identify the ordered pair that is an element of the solution set of the system of equations. 5 x + 2 y = 10 3 x + y = 6
○ (0, − 2) ○ (1, 1) ○ (2, 4) ○ ( − 2, − 4)
○ (0, 2) ○ (2, 0) ○ ( − 2, 0) ○ (1, 3)
3. Solve the system of equations using a table and a graph. − = x y 2 4
4. Classify the system of equations and identify the number of solutions. 3 x − y = 8 2 y − 5 = 6 x
1 2
x + y = 2
6. Skating School A charges $7 for equipment rental plus $20 per hour for lessons. Skating School B charges $25 for equipment rental plus $12 per hour for lessons. Find the number of hours for which the equipment rental and fee for lessons is the same for both schools.
5. Classify the system of equations and identify the number of solutions. 4 x − y = 2 3 y = 12 x − 6
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