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(i) For which values of a and b does the...

(i) For which values of a and b does the following pair of linear equations have an infinite number of solutions?
2x + 3y = 7
(a - b)x + (a + b)y = 3a + b - 2
(ii) For which value of k will the following pair of linear equations have no solution?
3x + y = 1
(2k - 1)x + (k - 1)y = 2k + 1

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AI Generated Solution

To solve the given questions step by step, we will break down each part. ### Part (i): Finding values of a and b for infinite solutions **Step 1: Write down the equations.** The given equations are: 1. \( 2x + 3y = 7 \) (Equation 1) 2. \( (a - b)x + (a + b)y = 3a + b - 2 \) (Equation 2) ...
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