# Name:__________ warm-up 6-3

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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

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?

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

Solving Systems of Equation by Elimination

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

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 = 12 3x – 6y = 18

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

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

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?

Notes and examples