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**Name:__________ warm-up 6-3**

Use substitution to solve the system of equations. x = –2y x + y = 4 Use substitution to solve the system of equations. 0.3t = –0.4r r + 3t = 8

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**Use substitution to solve the system of equations. 4x – y = 2**

The sum of two numbers is 31. The greater number is 5 more than the lesser number. What are the two numbers?

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**Details of the Day How can you find the solution to a math problem?**

EQ How can you find the solution to a math problem? I will be able to… Activities: Warm-up Collect project Review HW Notes: Solving Systems of Equations by Elimination Class work/ HW – pair and share Vocabulary: Solve systems of equations by using elimination with adding. Solve systems of equations by using elimination with subtraction. system of equations consistent independent dependent inconsistent

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**Solving Systems of Equation by Elimination**

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A Quick Review Use substitution to solve the system of equations. x = –2y x + y = 4 Use substitution to solve the system of equations. 0.3t = –0.4r r + 3t = 8

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A Quick Review Use substitution to solve the system of equations. 4x – y = 2 The sum of two numbers is 31. The greater number is 5 more than the lesser number. What are the two numbers?

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A Quick Review Angles A and B are complementary, and the measure of A is 14° less than the measure of B. Find the measures of angles A and B. Adult tickets to a play cost $5 and student tickets cost $4. On Saturday, the adults that paid accounted for seven more than twice the number of students that paid. The income from ticket sales was $455. How many students paid?

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Notes and examples Use elimination to solve the system of equations. –3x + 4y = 12 3x – 6y = 18

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Notes and examples Use elimination to solve the system of equations. 3x – 5y = 1 2x + 5y = 9 Use elimination to solve the system of equations. 4x + 2y = 28 4x – 3y = 18

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Notes and examples Use elimination to solve the system of equations. 9x – 2y = 30 x – 2y = 14

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Real World Examples NATURE CENTER A nature center charges $35.25 for a yearly membership and $6.25 for a single admission. Last week it sold a combined total of 50 yearly memberships and single admissions for $ How many memberships and how many single admissions were sold? CHEMISTRY Mikhail needs 10 milliliters of 25% HCl (hydrochloric acid) solution for a chemistry experiment. There is a bottle of 10% HCl solution and a bottle of 40% HCl solution in the lab. How much of each solution should he use to obtain the required amount of 25% HCl solution?

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Notes and examples

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3.5 Solving systems of equations in 3 variables

3.5 Solving systems of equations in 3 variables

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