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Chapter 8.2 Day 1. Vocabulary Equation in two variables ex: 2x – 2y = 5 Solution of an equation in x and y is an ordered pair ( x,y ) that produces a true statement when the values x and y are substituted into the equation. Objective 1: checking solutions.
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Chapter 8.2 Day 1 • Vocabulary • Equation in two variables ex: 2x – 2y = 5 • Solution of an equation in x and y is an ordered pair (x,y) that produces a true statement when the values x and y are substituted into the equation.
Objective 1: checking solutions • Tell whether the ordered pair is a solution of 2x – y = 5 (1,-3) (4,7)
Checking solutions • Are the following ordered pair a solution of 3x + 2y = -8 (0,4) (-2,-1)
Objective 2: finding solutions For the 1859 Mauna Loa eruption, the lava’s distance d (in miles) from the ocean t hours after it left the volcano can be approximated by the equation d = 32 – 4t. • Make a table of solutions for the equation • How long will it take the lava to reach the ocean?
Finding Solutions Morgan is riding her bike to her friends house. Her distance can be represented using the formula y = 5x – 3. Make a table of solutions for the equation How far will she have traveled in 20 minutes?
Finding Solutions To rent a cabin for one night, a resort charges $50 a night and $10 per person. A formula to represent this is y = 10x + 50. Make a table of solutions for this equation: • How much would is cost a group of 15 people to rend the cabin?
Practice • Are the following ordered pair solutions to the equation y = -2x – 5? (5, -5) (2, -9) • Make a table of solutions for the formula y = -x + 3
Homework • Page 394 #’s 12-15, 32-40