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WA5 - Robert Edwin Goode Student ID 0451848 Mentor Nilajan...

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Robert Edwin Goode Student ID: 0451848 Mentor: Nilajan Paul Date: 10/15/11 Writing Assignment #5 Section 9.1[6,12,20,28,32,50] 6. Each graph is that of a function because the solutions of the system of equations satisfy every equation in the system. 12. 4x-5y=-11 2x+y=5, y=5-2x 4x-5(5-2x)=-11 4x-25+10x=-11 14x=14, X=1 2(1)+y=5 ↔ y=3 20. 4x+y=-23 x-2y=-17 ↔-4x+8y=68 9y=45 Y=5 4x+5=-23 ↔ x=-7 28. 3x/2+y/2=-2 ↔ 3x+y=-4 x/2+y/2=0 ↔ x+y=0 ↔-3x-3y=0 -2y=-4 Y=2
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3x+2=-4 X=-2 32. 3X+2Y=5 ↔ -6x-4y=-10 6X+4y=8 0=-18 Solution set is 0 as system is inconsistent and equations are independent. 50. 4x-y+3z=-2 3x+5y-z=15 ↔9x+15y-3z=45 ↔12x+20y-4z=60 -2x+y+4z=14 13x+14y=43 ↔-130x-140y=-430 10x+21y=74 ↔ 130x+273y= 962 133y = 532 Y=4 13x+14(4)=43 X=-1 4(-1)-4+3z=-2 Z=2 Solution Set {(-1,4,2)} Section 9.2 (4,8,10,20,32) 4. -6 times row 3 added to row 1: 2 5 6 4 -1 2 3 7 1 2 5 6 4 -1 2 -16 37 0
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8. The size is 3x4 matrix 10. 2x+y+3z=12 4x-3y=10 5x-4z=-11 20. 2x-5y-10=0 3x+y-15=0 4 -2 3 4 3 5 1 7 5 -1 4 7 2 1 3 12 4 -3 0 10 5 0 -4 -11
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times row 2 by 5 and add to 1 divide row 2 by 17 divide row 1 by -2 and add to 2
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WA5 - Robert Edwin Goode Student ID 0451848 Mentor Nilajan...

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