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Question

(iii) 9x + 11y = 78; 11x + 9y = 82

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Solution

9x+11y=78 ....(i) 11x+9y=82 ....(ii) Adding eq (i) and (ii), we get: 9x+11y=78 +11x+9y= 82 20x+20y=160 20x+y=160 x+y=8Subtracting eq (ii) from (i), we get: 9x+11y=78 11x+ 9y= 82 - - - -2x+2y=-4 -2x-y=-4x-y=2 x+y=8, x-y=2

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