1/2x + 3y =6
1/2x + 3(2)=6
1/2x + 6 = 6
-6 -6
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1/2x = 6<---- Incorrect This should be 1/2 x = 0
________
1/2 1/2
x = 3
(3,2)<----This should be (0,2)
1/2x + 3y = 6
1/2(-2) + 3y = 6
-1 + 3y = 6
+1 +1
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3Y = 7
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3 3
Y = 7/3
(-2,7/3) Correct ....You can check it yourself by putting these values back into the function (1/2*x + 3*y) and see if you get '6' as answer.
1/2X + 3Y=6
1/2X + 3(3) =6
1/2X + 9 = 6
-9 -9
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1/2X = -3
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1/2 1/2
X = -6
(-6,3)<---------Now you check your answer and find out if you are correct or not.