solve for X and y 139x+56y=641 ,56x+139y=724
dm113:
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Step-by-step explanation:
Let the given equations be ;
139x + 56y = 641 -------- (1)
56x + 139y = 724 --------- (2)
On adding eq. 1) & 2) we get ;
195x + 195y = 1365
195(x + y) = 1365 [ on taking 195 as common ]
x + y = 1365/195
x + y = 7 ------- (3)
Now, subtracting eq.2) from 1) we get,
83x - 83y = -83
83 (x - y ) = -83
x - y = -83/83
x - y = -1 ------- (4)
Adding eq.3) and 4) we get ;
2x = 6
x =3
On putting value of "x" in eq.4) we get ;
3-y = -1
y = 4
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