4) which of the following is not the solution of 3x+6y=12?
A) (-4,4) B) (0,2)
C) (8,-2)
D) (3,1)
Answers
Answer:
D) (3, 1) is not the solution .
LHS
3x + 6y
3×3 + 6×1
9+6
= 15 which is not equal to RHS that is 12
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3(3) + 6(1) = 9 + 6 = 15, which is not equal to 12, so (3,1) is not a solution.
Therefore, the answer is (D) (3,1).
To check if a given point is a solution of the equation 3x+6y=12, we can substitute the values of x and y into the equation and check if the equation is true.
For option A (-4,4):
3(-4) + 6(4) = -12 + 24 = 12, which is not equal to 12, so (-4,4) is not a solution.
For option B (0,2):
3(0) + 6(2) = 0 + 12 = 12, so (0,2) is a solution.
For option C (8,-2):
3(8) + 6(-2) = 24 - 12 = 12, so (8,-2) is a solution.
For option D (3,1):
3(3) + 6(1) = 9 + 6 = 15, which is not equal to 12, so (3,1) is not a solution.
Therefore, the answer is (D) (3,1).
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