Question 203365
Solve by elimination method 
7/2x + 7/3y = 42 
1/4x + 1/3y = 4 
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Multiply thru the 1st by 6; Multiply thru the 2nd by 12
21x + 14y = 252
3x + 4y = 48
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Solve the 2nd for "x"
x = (-4/3)y + 16
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Substitute into the modified 1st equation:
21((-4/3)y + 16) + 14y = 252
-28y + 336 + 14y = 252
-14y = - 84
y = 6
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Substitute into x = (-4/3)y + 16 to get x = (-24/3)+16 = 8
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Ans: (8,6)
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Cheers,
Stan H.