MAT 101H Module 4 Case Assignment

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MAT101H � Module 4 � Case Assignment

Example Question and Solution

Solve graphically x - 2y = 1 and x + y = 4, and write down the co-ordinates of the point of intersection of the two lines.

Use grid below. When you click on the arrows you can move and/or rotate them to the correct position.

Plot only 3 points per line.

Question 1 - Draw the graphs of 2x-y-1 = 0 and 2x + y = 9; Write down the co-ordinates of the point of intersection of the two lines.

Question 2 - Solve graphically x + y + 2 = 0 and 3x - 4y = 5. Write down the co-ordinates of the point of intersection of the two lines.

Question 3 � Solve graphically x = 4 and 3x - 2y = 10. Write down the co-ordinates of the point of intersection of the two lines.

Question 4 - Show graphically that the system of linear equations 2x+4y=10 and 3x + 6y = 12 has no solution. Explain why.

Question 5 � Solve graphically: 3x + y + 1 = 0 and 2x - 3y + 8 = 0. Write down the co-ordinates of the point of intersection of the two lines.

Question 6 - Solve graphically y = 2x - 6 and y = -2x + 10. Write down the co-ordinates of the point of intersection of the two lines.

Question 7 - Solve graphically: 3y = 5 - x and 2x = y + 3. Write down the co-ordinates of the point of intersection of the two lines.

Question 8 - Solve graphically: x + y = -1 and y - 2x = -4. Write down the co-ordinates of the point of intersection of the two lines.

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