5x + 8/y = 19 and 3x - 4/y =7 find x and y
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x = 3 and y = 2
Step-by-step explanation:
5x + 8/y = 19
3x - 4/y = 7
put 1/y = a
5x + 8a = 19 ------------(1)
3x - 4a = 7 --------------(2)
on multiply by 2 in eq 2
2(3x - 4a = 7)
6x - 8a = 14 -------------(3)
on adding eq 1 and 3
5x + 8a = 19
6x - 8a = 14
11x = 33
x = 33/11
x = 3
put x in eq 2
3x - 4a = 7
3(3) - 4a = 7
9 - 4a = 7
-4a= 7 - 9
-4a = -2
4a = 2
a = 2/4
a = 1/2
now , put 1/y = a
1/y = 1/2
y = 2
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