1.7 solve systems of linear...
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1.7 Solve Systems of Linear Equations
• I can solve systems of linear equations graphically.
• I can solve systems of linear equations algebraically.
• I can solve systems of linear equations with no solutions or infinite solutions.
• I can solve real world situations involving systems of linear equations.
Determine if the ordered pair (1, 1) is a solution to the system of linear equations.
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a. b.
♦I can solve systems of linear equations graphically.♦Example 1: Solve each system by graphing. Check your answer algebraically.
Check: Check:
a. b.
♦I can solve systems of linear equations graphically.♦Checkpoint: Solve each system by graphing. Check your answer algebraically.
Check: Check:
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♦I can solve systems of linear equations algebraically.♦
Example 2: Solve the system of equations using SUBSTITUTION.
a. b.
♦I can solve systems of linear equations algebraically.♦
Example 2: Solve the system of equations using ELIMINATION.
c. d.
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♦I can solve systems of linear equations algebraically.♦Checkpoint: Solve the system of equations using either method.a. b.
♦I can solve systems of linear equations with no solutions or infinite solutions.♦Example 3: Decide which method would be “easiest” to solve the system of linear equations, then solve.
a. b.
Describe the graphs of these two types of solutions.
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Example 4: An express bus runs once a day to take tourists outside of the town center. The bus holds at most 50 passengers. It costs $3 for a oneway ticket, and $5 for a twoway ticket. The bus made a total of $212 from one trip. How many passengers bought oneway tickets?
♦I can solve real world situations involving systems of linear equations.♦
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