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Question

Solve for  x and y:

9x4y=8,13x+7y=101  (x0,y0).


Solution

⇒ (9/x) - (4/y) = 8 and (13/x) + (7/y) = 101
 
Elimination method :
⇒ (9/x) - (4/y) = 8 ------(1)
 (13/x) + (7/y) = 101----(2)
Multiply equ (1) by 7 and equ (2) by 4

⇒ (63/x) - (28/y) =56 ----(3)
 (52/x) + (28/y) = 404 ----(4)

Adding  equ(3) and  equ (4)

115/x = 460
X =1/4
Substitute x value in equ (4)
208 + (28/y) = 404
28 / y = 196
Y = 1 / 7.

 

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