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

(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`

Text Solution

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