SOLUTION: 1/2x + 1/3y = 7 1/4x + 2/3y = 6 What is the solution of the system shown? A.) (1/6, 14) B.)(6, 12) C.)(10 2/3, 5)

Question 1061707: 1/2x + 1/3y = 7
1/4x + 2/3y = 6
What is the solution of the system shown?
A.) (1/6, 14)
B.)(6, 12)
C.)(10 2/3, 5)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
1/2x + 1/3y = 7
1/4x + 2/3y = 6; multiply this by -2 and add the two
-1/2 x-4/3y=-12
-3/3y=-5
y=5
find x in the first one
1/2 x+5/3 =7
3x+10=42, multiplying by 6
3x=32
x=32/3
-------------
check in the second equation
8/3+(10/3)=18/3=6
(32/3,5)
C (10 2/3 is 32/3)

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