Linear Equation 7

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If 2 x / a + y / 2b = 4 and 3 x = 2 y = a = 6; find the value of b.

Solution:

Given, 3 x = 2 y = a = 6

x = 2, y = 3 and a = 6

Therefore, 2 x / a + y / 2b = 4

=> 2 X 2 / 6 + 3 / 2b = 4

=> 3 / 2b = 4 - 2 / 3

=> 3 / 2b = 10 / 3

=> b = 9 / 20

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