solve 2x +3y = 11 and 2x - 4y = -24 and hence find the value of 'm' for which y =mx +3
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2x + 3y = 11 .... (i)
2x - 4y = -24 ....(ii)
Now subtract equation (ii) from (i)
(2x + 3y) - (2x - 4y) = 11 - (-24)
2x + 3y - 2x + 4y = 11 + 24
7y = 35
y = 35/7
y = 5
Now, 2x + 3y = 11
2x + 3×5 = 11
2x + 15 = 11
2x = 11 - 15
2x = -4
x = -2
Now, y = mx + 3
5 = m(-2) + 3
5 - 3 = -2m
2 = -2m
m = 2/-2
m = -1
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