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 = –2yx + y = 4
Use substitution to solve the system of equations.0.3t = –0.4r + 0.14r + 3t = 8
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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How can you find the solution to a math problem?
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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
Solving Systems of Equation by Elimination
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
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?
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?
Notes and examples
Use elimination to solve the system of equations.–3x + 4y = 123x – 6y = 18
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
Notes and examplesUse elimination to solve the system of equations.9x – 2y = 30 x – 2y = 14
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?
Notes and examples