ef2452_B07_PS1 - (b) 4 x-6 y = 18 , x-3 2 y = 3 Q4. {...

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(EF 2452) Problem Set#1 Due: Week 2, Tutorial Class Please write your name, student ID and tutorial number on top of your answer sheet. Q1. { Practice Problem 6 (pg. 24) from Chapter 1.1 in Jacques’ textbook } Find the coordinates of the points where the line x - 2 y = 3 intersects the axes. Hence sketch it’s graph. What is the slope of this line? Q2. Sketch a graph of the following lines: (a) y = - x ; (b) y = | x | ; (c) y = | x | x Note: | x | = b x if x 0 - x if x < 0 Q3. { Practice Problem 5 (pg. 46) from Chapter 1.2 in Jacques’ textbook } Sketch the following lines on the same diagram: 2 x - 3 y = 6 , 4 x - 6 y = 18 , x - 3 2 y = 3 Hence comment on the nature of the solutions of the following systems of equations: (a) 2 x - 3 y = 6 , x - 3 2 y = 3
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Unformatted text preview: (b) 4 x-6 y = 18 , x-3 2 y = 3 Q4. { Practice Problem 6 (pg. 46) from Chapter 1.2 in Jacques’ textbook } Use the elimination method to attempt to solve the following systems of equations. Comment on the nature of the solution in each case. (a)-3 x + 5 y = 4 , 9 x-15 y =-12 (b) 6 x-2 y = 3 , 15 x-5 y = 4 Q5. { Practice Problem 8 (pg. 46) from Chapter 1.2 in Jacques’ textbook } Attempt to solve the following systems of equations. Comment on the nature of the solution in each case. ( a ) x-2 y + z =-2 (1) x + y-2 z = 4 (2)-2 x + y + z = 12 (3) ( b ) 2 x + 3 y-z = 13 (1) x-2 y + 2 z =-3 (2) 3 x + y + z = 10 (3)...
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ef2452_B07_PS1 - (b) 4 x-6 y = 18 , x-3 2 y = 3 Q4. {...

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