name:__________ warm-up 6-3 use substitution to solve the system of equations. x = –2y x + y = 4...

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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 + 0.1 4r + 3t = 8

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Page 1: 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

Name:__________ warm-up 6-3 Use substitution to solve the system of equations.x = –2yx + y = 4

Use substitution to solve the system of equations.0.3t = –0.4r + 0.14r + 3t = 8

Page 2: 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

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?

Page 3: 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

Details of the DayEQ

How can you find the solution to a math problem?

I will be able to…

Activities:Warm-upCollect projectReview HWNotes: Solving Systems of Equations by EliminationClass work/ HW – pair and share

Vocabulary:• Elimination

• 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

Page 4: 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

Solving Systems of Equation by Elimination

Page 5: 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

A Quick Review Use substitution to solve the system of equations.x = –2yx + y = 4

Use substitution to solve the system of equations.0.3t = –0.4r + 0.14r + 3t = 8

Page 6: 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

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?

Page 7: 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

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?

Page 8: 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

Notes and examples

Use elimination to solve the system of equations.–3x + 4y = 123x – 6y = 18

Page 9: 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

Notes and examplesUse elimination to solve the system of equations.3x – 5y = 12x + 5y = 9

Use elimination to solve the system of equations.4x + 2y = 284x – 3y = 18

Page 10: 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

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

Page 11: 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

Real World ExamplesNATURE 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 $660.50. 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?

Page 12: 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

Notes and examples