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Solve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of ‘m’ for which y = mx + 3.

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Solution: Subtracting 2nd equation from 1st we get

7y = 35

y = 5 and x = -2

put these values in y = mx + 3

5 = -2m + 3

2 = -2m

m = -1

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