3x - y+7/11 +2 and 2y +( x+11)/7 = 10
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3x - (y + 7)/11 + 2 = 10 …………...(a)
2y + (x + 11)/7 = 10 …………...(b)
Now,
From (a) we have
{(11 × 3x - (y + 7) + 2 × 11}/11 = 10
33x - y - 7 + 22 = 10 × 11
33x - y + 15 = 110
33x - y = 110 - 15
33x - y = 95
-y = 95 - 33x
y = 33x - 95 ………….(c)
Also
From (b) we have,
{(7 × 2y + (x + 11)}/7 = 10
14y + x + 11 = 7 × 10
14y + x + 11 = 70
14y + x = 70 - 11
14y + x = 59 ………..(d)
Putting value of y from (c) in (d) :-
14(33x - 95) + x = 59
462x - 1330 + x = 59
463x = 59 + 1330
463x = 1389
x = 1389/463
x = 3
Now,
Substituting value of x in (c),
y = 33x - 95
y = 33 × 3 - 95
y = 99 - 95
y = 4
Therefore,
x = 3 & y = 4
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