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5x/6-y/3=11
5x-2y = -7
6
5x -2y = -42 -----------------(1)
x/3+y/4=11
3y+4x = 11
12
4x+3y = 11*12
4x+3y = 132
x= 132- 3y
4
putting the value of x in equation (1)
5(132 - 3y) -2y = -42
(4)
5*132 -5*3y -2y = -42
4
660 - 15y-2y = -42
4
660-15y-8y = -42
4
660 -23y = -42*4
660 - 23y = -84
660 +84 = 23y
744= 23y
y=744
23
y=32.3
putting the value of y in equation (1)
5x - 2*32.3 = -42
5x - 64.6 = -42
5x =-42 + 64.6
5x = 22.6
x = 22.6
5
x=4.52
Hence, x= 4.52 ;y=32.3
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