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9 Concurrence

• 1. Concurrence 3 or more lines meeting at a point 9.
• 2.
• 3.
• 4. Example 1 Solution : 2. Show that the point you have just found also lies on the other line(s) Sub x = 4 & y = 5 in : 3. Make a statement Point of Intersection x + y - 9 = 0 2x + 3y = 23 3x - y = 7 Show that the following lines are concurrent: 3x - y LHS: RHS: AS LHS=RHS lines are concurrent
• 5. 3x – y = 7 2x + 3y = 23 x + y = 9
• 6. Homework booklet, Exercise 9
• 7.
• 8. Example 2 Solution : 2. Points ARE concurrent so substitute into 3 rd equation to find k. Sub x = 3 & y = 1 in : Point of Intersection x + 4y = 7 3x + y = 10 x - 5y + k = 0 x - 5y + k = 0 Find k if these lines are concurrent:
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