lesson33outline

lesson33outline - MA 153 RLesson 33 Outline Quiz Solutions...

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MA 153 R Lesson 33 Outline Quiz Solutions (Practice problems for distance learning students) 1 . Solve. Express your answer as an ordered pair. Multiply the top equation by 2 and the bottom by 3 (one of many options): 61 2 4 15 12 3 xy = + = Add the left sides and right sides to eliminate y : 21 7 71 21 3 x x = = = Substitute x into one of the previous equations to find y : 1 36 2 3 16 2 11 , 63 y y y y ⎛⎞ −= ⎜⎟ ⎝⎠ =− 1 6 = −− 541 2 = + = 2. Graphically, what is true about the two lines given by the system below (they are parallel, they intersect once, or they are really the same line). 21 42 += Multiply the top equation by -2: 423 2 Add the left sides and right sides: 0=1 The lines are parallel and therefore, no solution exists 3
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Answering of homework questions over lesson 32. Lesson 33 Section 9.2 Applications of two equations with two unknowns Example: A solution must be made from a 10% solution and a 1% solution. How much of each must be used
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lesson33outline - MA 153 RLesson 33 Outline Quiz Solutions...

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