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Applications of Systems of Linear Equations

When an application has more than one unknown, it may be necessary to use multiple variables. When two variables are present, the goal is to set up a system of two independent equations.To solve the system, use the substitution method or the addition method.. There are several types of application problems that can be solved using a system of linear equations in two variables:Cost applicationsMixture applicationsApplications involving principal and interestApplications involving distance, rate, and timeGeometry applications.

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Applications of Systems of Linear Equations

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    1. Applications of Systems of Linear Equations In Two Variables 3.4 SSC 105

    2. When an application has more than one unknown, it may be necessary to use multiple variables. When two variables are present, the goal is to set up a system of two independent equations. To solve the system, use the substitution method or the addition method.

    3. There are several types of application problems that can be solved using a system of linear equations in two variables: Cost applications Mixture applications Applications involving principal and interest Applications involving distance, rate, and time Geometry applications

    4. Label two variables. Construct two equations in words. Write two equations. Solve the system. Write the answer. Steps to Solve Applications

    5. Exercise 10 At one store, 5 pairs of jeans and 2 sweatshirts costs $166, while 3 pairs of jeans and 4 sweatshirts costs $164. Find the cost of one sweatshirt. A) $23 B) $24 C) $20 D) $26

    6. Mixture Problem – Skill Prac p.211

    7. Answer

    8. Principal & Interest- #20 p. 216

    9. Answer She invested $8000 in the 7.5% account and $4000 in the 6% account.

    10. Distance, Rate, Time – Skill Pr p. 213

    11. Answer The speed of the plane is 540 mph and the speed of the wind is 60 mph.

    12. Geometry Application-ex. 5 p. 214

    13. Answer The two acute angles measure 32º and 58º.

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