3-2 Solving Linear Systems Algebraically day 2 Objective: CA 2.0: Students solve system of linear equations in two variables algebraically.

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Presentation transcript:

3-2 Solving Linear Systems Algebraically day 2 Objective: CA 2.0: Students solve system of linear equations in two variables algebraically.

Example 5: Using a Linear System to Model A caterer is planning a party for 64 people. The customer has $150 to spend. A $39 pan of pasta feeds 14 people and a $12 sandwich tray feeds 6 people. How many pans of pasta and how many sandwich trays should the caterer make?

Labels People per pan= 14 Pans of pasta= P People per tray= 6 Trays of sandwiches= S People at the party= 64 Price per pan of pasta= 39 Pans of Pasta= P

Labels: Price per sandwich tray= 12 Sandwich trays= S Money to spend on food= 150

Linear Combination Method

Substitute the value P into one of the original equations 14p + 6s = 64 14(2) + 6s = s = 64 6s = 36 s = 6 The caterer should make 2 pans of pasta and 6 sandwich trays.

Home work page –51 odd, 54 – 58 even, 67 – 81 odd