3.3 Problem Solving Using Linear Systems ©2001 by R. Villar All Rights Reserved.

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Presentation transcript:

3.3 Problem Solving Using Linear Systems ©2001 by R. Villar All Rights Reserved

Problem Solving Using Linear Systems The following slides contain hints to assist you in solving the problems in this section. It is not necessary to take notes for this section. Use the hints as you need them. Problem #5: Your Speed Their Speed 10 miles per hour = + Your Speed Your time in hours = Their Speed Their time in hours Let x = your speed y = their speed Write a system of 2 equations in 2 variables

Problem Solving Using Linear Systems The following slides contain hints to assist you in solving the problems in this section. It is not necessary to take notes for this section. Use the hints as you need them. Problem #5: x Their Speed 10 miles per hour = + Your Speed Your time in hours = Their Speed Their time in hours Let x = your speed y = their speed Write a system of 2 equations in 2 variables

Problem Solving Using Linear Systems The following slides contain hints to assist you in solving the problems in this section. It is not necessary to take notes for this section. Use the hints as you need them. Problem #5: xy 10 miles per hour = + Your Speed Your time in hours = Their Speed Their time in hours Let x = your speed y = their speed Write a system of 2 equations in 2 variables

Problem Solving Using Linear Systems The following slides contain hints to assist you in solving the problems in this section. It is not necessary to take notes for this section. Use the hints as you need them. Problem #5: xy10 = + Your Speed Your time in hours = Their Speed Their time in hours Let x = your speed y = their speed Write a system of 2 equations in 2 variables

Problem Solving Using Linear Systems The following slides contain hints to assist you in solving the problems in this section. It is not necessary to take notes for this section. Use the hints as you need them. Problem #5: xy10 = + x Your time in hours = Their Speed Their time in hours Let x = your speed y = their speed Write a system of 2 equations in 2 variables

Problem Solving Using Linear Systems The following slides contain hints to assist you in solving the problems in this section. It is not necessary to take notes for this section. Use the hints as you need them. Problem #5: xy10 = + x 25/60 = Their Speed Their time in hours Let x = your speed y = their speed Write a system of 2 equations in 2 variables

Problem Solving Using Linear Systems The following slides contain hints to assist you in solving the problems in this section. It is not necessary to take notes for this section. Use the hints as you need them. Problem #5: xy10 = + x 5/12 = Their Speed Their time in hours Let x = your speed y = their speed Write a system of 2 equations in 2 variables

Problem Solving Using Linear Systems The following slides contain hints to assist you in solving the problems in this section. It is not necessary to take notes for this section. Use the hints as you need them. Problem #5: xy10 = + x 5/12 =y Their time in hours Let x = your speed y = their speed Write a system of 2 equations in 2 variables

Problem Solving Using Linear Systems The following slides contain hints to assist you in solving the problems in this section. It is not necessary to take notes for this section. Use the hints as you need them. Problem #5: xy10 = + x 5/12 =y (5 + 25) 60 Let x = your speed y = their speed Write a system of 2 equations in 2 variables

Problem Solving Using Linear Systems The following slides contain hints to assist you in solving the problems in this section. It is not necessary to take notes for this section. Use the hints as you need them. Problem #5: xy10 = + x 5/12 =y 1/2 Let x = your speed y = their speed Write a system of 2 equations in 2 variables

Problem Solving Using Linear Systems The following slides contain hints to assist you in solving the problems in this section. It is not necessary to take notes for this section. Use the hints as you need them. Problem #5: xy10 = + x 5/12 =y 1/2 Now, solve the system.

Here are some hints for problem #7. let x = number of round tables y = number rectangular tables The problem states that “you can afford 5 tables”… sox + y = 5 The problem also states that “each round table can seat 8 people” and “each rectangular table can seat 12 people”… so8x + 12y = ? This must be equal to the total number of people Now, solve the system.

Here are some hints for problem #8. let b = number of baseball cards f = number of football cards The problem states that your uncle gives you a total of 360 cards, so... b + f = ? Now, solve the system. This must be equal to the total number of cards The problem also states that there are “30 more baseball cards than twice the number of football cards”… So … b = 2f + 30

Here is a hint for problem #10. let x = number of single rooms y = number of double rooms The total number of rooms is 260. Write an equation for this. The total cost for the single rooms is 35x The total cost for the double rooms is 60y These two should add up to the sales for the night. Write the second equation and solve the system.