Algebra 5 - Multiply the first equation by 33: 2 16 1 (33)...

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Which set of equations represents the given equation after they have been cleared of fractions.? 2x+16/11+y-1/3=3 3x+3/4-2y-3/5=2 A. 2x-11y=114 3x+2y=80 B. 2x+y=84 3x-2y=34 C. 6x+11y=62 15x-8y=13 D. 6x+11y=99 15+8y=40 To answer this question, find the LCM for the fractions of each equation: For the first equation, the LCM = 3*11 = 33 For the second equation, the LCM = 4*5 = 20
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Unformatted text preview: Multiply the first equation by 33: 2 16 1 (33) 3(33) 11 3 6 48 11 11 99 6 11 37 99 6 11 62 x y x y x y x y +-+ = + +-= + + = + = Multiply the second equation by 20: 3 3 2 3 2 4 5 3 3 2 3 (20) 2(20) 4 5 15 15 8 12 40 15 8 27 40 15 8 13 x y x y x y x y x y +--= +-+ + = +-+ =-+ =-= As you can see, C is the correct choice...
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