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Given
a = 2x - 3 / 3 ; b = 7 - 3x / 4
a - b/ 5 = 1.....(1) (Given)
substitute a,b values in ..(1)
a - b / 5 = 1
cross multiply
a - b = 5
(2x - 3) / 3 - (7 - 3x) / 4 = 5
L.C.M of 4,3 = 4×3 = 12
(4(2x - 3) - 3(7 - 3x) ) / 12 = 5
cross multiply...
(4(2x - 3) - 3(7 - 3x) ) = 5×12
(4(2x - 3) - 3(7 - 3x) ) = 60
(4(2x) - 4(3)) -(3(7) -3(-3x)) = 60
we know that
[+ × - = -] [ - × - = +]
8x - 12 - 21 + 9x = 60
17x -33 = 60
17x = 60 + 33
17x = 93
x = 93/17...
a = 2x - 3 / 3 ; b = 7 - 3x / 4
a - b/ 5 = 1.....(1) (Given)
substitute a,b values in ..(1)
a - b / 5 = 1
cross multiply
a - b = 5
(2x - 3) / 3 - (7 - 3x) / 4 = 5
L.C.M of 4,3 = 4×3 = 12
(4(2x - 3) - 3(7 - 3x) ) / 12 = 5
cross multiply...
(4(2x - 3) - 3(7 - 3x) ) = 5×12
(4(2x - 3) - 3(7 - 3x) ) = 60
(4(2x) - 4(3)) -(3(7) -3(-3x)) = 60
we know that
[+ × - = -] [ - × - = +]
8x - 12 - 21 + 9x = 60
17x -33 = 60
17x = 60 + 33
17x = 93
x = 93/17...
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