Question

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)

Answer 1

(6,-2) math when you substitute those in the problem the answer comes out to be 6

Answer 2

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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