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Test 2 Review - MAT 1033 Review for Test 2(Sections 3.1 3.2...

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MAT 1033 Review for Test 2 (Sections 3.1, 3.2, 3.8, 4.1, 4.3, and 4.5) Chapter 3 (3.1, 3.2, and 3.8): Systems of Linear Equations 1) Determine whether (–2, 7) is a solution to the system 5 3 2 2 18 x y x y + = - - + = . 2) The graph of system of equations is shown at the right. What is the solution to the system? 3) Without solving, determine how many solutions the following system of equations has. 5 7 5 4 y x y x = - + = - - Why? 4) The system of equations below has infinite solutions . What must the value of A be? 4 1 4 y x y x A = + = + Solve each of the following systems of equations using any method you like. Write your final answers as coordinate points. If you solve by graphing, you must show a sketch with the solution labeled on the graph. 5) 2 2 2 6 x y x y + = - = 6) 5 4 9 2 3 x y x y - = - = - 7) 5 2 4 10 4 7 x y x y - = - + = 8) 6 2 y x y x = - = 9) 3 7 2 1 x y x y - = - = - 10) 3 4 11 2 3 4 x y x y - = + = - 11) 15 5 10 3 2 x y y x - = = - 12) 3 2 48 9 8 24 x y x y + = - = - Applications 13) A company has a demand function for a particular product of ( ) 2000 15 D p p = - and a supply function of ( ) 55 600 S p p = + . What is the equilibrium point for this product?
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