1. 1) How many milliliters of a 40% silver nitrate solution must be mixed with 20.0 milliliters of a 25% silver nitrate solution to make a 34% solution? 2) The length of a rectangle is 4 times its width. The perimeter is 60 inches. What is the length? 3) A small airplane is flying at a speed of 15,840 feet per minute. What is the airplane’s speed in miles per hour? 11/16/15 Warm Up

3. Solving Systems by Graphing Standards – A.REI.12 & ACED.3 Essential Questions – What is a solution to a system of equations? – How do we solve for a system of equations?

4. Vocabulary System of Equations – a set of ____ or more equations (we will deal with only __________ equations) Solution – A solution to a system of equations is the _____________ point of their graphs. 2 TWO INTERSECTION

5. Example 1 How would you determine whether either of the points (–1, –5) and (0, –2) is a solution to the given system of equations. y = 3x – 2 y = –x – 6

6. How do I solve systems of equations? One method of solving systems is solving by ___________. What are some limitations of this method? GRAPHING As always, there is the element of human error when graphing. This means that the answer may not be percise.

7. y = 3x – 2 y = –x – 6

8. Example 2 Solve the system by graphing. y = -2x + 5 y = 3x – 1

9. Example 3 Solve the system by graphing.

10. Practice Problem #1 Is (-3, 20) a solution to the system below? y + 4x = 8 5x + 2y = 10

11. Practice Problem #2 Solve the system by graphing. 2y – 6x = 4 y = 3x + 1