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☆☆☆☆☆7x+43y=123 ..............(1)
43x+37y=117 ..............(2)
ADD EQN (1)AND(2)
WE GET 80X + 80Y = 240, WHICH WHEN REDUCED IS X + Y = 3 ........................(3)
SUBRACTING EQN (1) AND (2) WE GET
-6X + 6Y = 6, WHICH WHEN REDUCED IS (-X + Y = 1) ........................(4)
ADDING EQN (3) AND (4)
X + Y = 3
-X + Y = 1
WE GET 2Y = 4
SO Y = 2
SUBSTITUTING Y = 2 IN EQN (3) WE GET
X + 2 = 3
SO X = 1
THEREFORE X= 1 AND Y = 2 IS THE SOLUTION FOR THE PAIR OF LINEAR EQUATIONS.
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APEX
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