10-1 An Introduction to Systems A _ is a set of sentences joined by the word or by a ____. Together these sentences describe a .

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Presentation transcript:

10-1 An Introduction to Systems A _______ is a set of sentences joined by the word ____ or by a ________________. Together these sentences describe a ______ ________. An Example 3x - 2y = 6 4x + 5y = 7 { What is the solution to a system? Since this system has 2 variables it is a _______________. On a graph, it’s the point of __________, an ___________.

1. Verify that is the solution to the system 44 _ 3 23, ( ) 3x - 2y = 6 4x + 5y = 7 { See if the ordered pair works in each sentence. 3x - 2y = 6 3· - 2 = · = = 6 6 = 6 4x + 5y = 7 4· + 5· = = = 7 7 = 7

2. The sum of 2 #s is 14 and their product is 40. a. What system can be solved to find the #s ? b. Graph each equation. What are the numbers? y x The solution to the system is

3. Solve by graphing. Find all solutions to the system y = -3x x + 2y = -14 { The solution to this system is y x