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Which of the following ordered pairs is a solution to the equation 2x + 3y = 6?

O (0,0)
(6,-2)
O (3, 2)
O (1.4)

User Bartop
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2 Answers

3 votes
(6,-2) math when you substitute those in the problem the answer comes out to be 6
User Bgshi
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4 votes

Final answer:

The ordered pair (6,-2) is a solution to the equation 2x + 3y = 6.


Step-by-step explanation:

To determine which of the given options is a solution to the equation 2x + 3y = 6, we need to substitute the values of x and y into the equation and check if it satisfies the equation.

Let's check each option:

  • Option (0,0): 2(0) + 3(0) = 0 + 0 = 0, which is not equal to 6. Therefore, (0,0) is not a solution.
  • Option (6,-2): 2(6) + 3(-2) = 12 - 6 = 6, which is equal to 6. Therefore, (6,-2) is a solution.
  • Option (3,2): 2(3) + 3(2) = 6 + 6 = 12, which is not equal to 6. Therefore, (3,2) is not a solution.
  • Option (1.4): Since the equation given has integer coefficients, the solution should also have integer values. Therefore, (1.4) is not a solution.

Therefore, the only ordered pair that is a solution to the equation 2x + 3y = 6 is (6,-2).


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User Shpresa
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