Linear Equation 14

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If 2 x - 1 = y + 1 = n - 1 = 5 and (4 m - 2) / n + (5x + 3) / 2y = 21 / 4; find the value of m.

Solution:

Given, 2 x - 1 = y + 1 = n - 1 = 5

=> 2 x - 1 = 5 , y + 1 = 5 and n - 1 = 5

=> 2 x = 5 + 1 , y = 5 - 1 and n = 5 + 1

=> x = 3 , y = 4 and n = 6

Now, (4 m - 2) / n + (5 x + 3) / 2y = 21 / 4

=> (4 m - 2) / 6 + (5 X 3 + 3) / 2 X 4 = 21 / 4

=> (4 m - 2) / 6 + 18 / 8 = 21 / 4

=> (4m - 2) / 6 = 21 / 4 - 9 / 4

=> (4m - 2) / 6 = (21 - 9) / 4

=> (4m - 2) / 6 = 12 / 4

=> 16 m - 8 = 72

=> 16 m = 80

=> m = 80 / 16 = 5

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