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Which of the following pairs of linear e...

Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically:
(i) x + y = 5, 2x + 2y = 10
(ii) x - y = 8, 3x - 3y =16
(iii) 2x + y - 6 = 0, 4x - 2y - 4 = 0
(iv) 2x - 2y - 2 = 0, 4x - 4y - 5 = 0

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AI Generated Solution

To determine whether the given pairs of linear equations are consistent or inconsistent, we will analyze the coefficients of the equations and check their ratios. If the ratios of the coefficients of x, y, and the constant terms are equal, the equations are consistent; otherwise, they are inconsistent. If they are consistent, we will find the solution graphically. ### Step-by-Step Solution: **(i) Equations:** 1. \( x + y = 5 \) 2. \( 2x + 2y = 10 \) ...
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