Warm-Up: Put the following equations into y= mx + b form: a) 2y + 14x = 6b) -3y – 4x – 15 = 0

Warm-Up: Problem of the Day Given the equation:, come up with a second equation to create a linear system that has: A) One solution B) No solution C) Infinite solutions

Unit 1 Using Substitution to Solve Word Problems Learning Goal: I can model a word problem using a linear equation and solve a linear system algebraically using substitution

Word Problems – Example 1 Two taxi companies charge as follows: – Drive Right: $3 plus $0.20/km – Pick Up: $5 plus $0.15/km At what distance will both companies charge the same amount? – Define 2 variables and write a system of equations to model this situation – Solve this system using substitution

Word Problems – Example 2 Julie has dimes and quarters in her pocket. She has 24 coins in total. If the number of dimes is 3 less than twice the number of quarters, find the number of each type of coin. – Define 2 variables and write a system of equations to model this situation – Solve this system using substitution

Homework Pg. 93 # 14, 16, 17, 18 More challenging: Pg. 93 # 20, 21ab, 25