please solve this problem
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Step-by-step explanation:
x/3 + y/4 = 4
(4x + 3y)/12 = 4
4x + 3y = 12 × 4
4x + 3y = 48 eq.1
5x/6 - y/8 = 4
(20x - 3y)/24 = 4
20x - 3y = 24 × 4
20x - 3y = 96 eq.2
From eq.1,
4x = 48 -3y
x = (48 - 3y)/4
Putting the value of x in eq.2,
20[(48 - 3y)/4] - 3y = 96
5 ( 48 - 3y) - 3y = 96
240 - 15y - 3y = 96
240 - 18y = 96
-18y = 96 -240
-18y = -144
y = -144/-18
y = 8
x = (48 - 3y)/4
x = (48 - 3(8))/4
x = (48 - 24)/4
x = 24/4
x = 6
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