Sewanhaka High School Math 8 Per:________________ Name:________________________________ Mrs. Lidowsky, Principal Mr. Long, Teacher Date:_____________________ H.W. #42: Ditto DO-NOW #42: 1) Graph the system of equations: 2x + y = 5 and y = ½x, and check the solution. 2) I am thinking of two numbers. One number is three times the other. Their sum is 12. What are the numbers? Topic: Equations and Expressions Main Idea: Using Substitution to solve a system of equations Aim: RECALL NOTES In Do – Now question #2, you solved for the missing numbers in terms of one variable, mainly x. Would it be possible to solve for Do – Now question #2 in terms of two variables algebraically? If we look at Do – Now question #2, what term did we use to represent the second number? Solve the system of equations by using substitution: y = 2x + 5 x + y = 11 Solve the system of equations by using substitution: A) x = 2y + 4 B) x + y = 10 Solve the system of equations by using substitution: A) x = 2y + 4 B) x + y = 10 Math 8 – LP #42 – Page 2 Drill: Do questions 1 and 2. If time, we will go back to 3 and 4. Use substitution to solve the following systems of equations algebraically and make sure to check: 1) y = 2x + 5 x + y = 17 Summary: 2) a = 2b - 4 a – b = 10 3) x + y = 6 2x + y = 10 4) w = r + 4 2w + 3r = 13