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Which of the following ordered pairs is a solution to the equation 3x−2y=10 ?(1 point)

Responses

(−3,2)open paren negative 3 comma 2 close paren

(4,1)open paren 4 comma 1 close paren

(2,−1)

1 answer

To determine which of the ordered pairs is a solution to the equation 3x - 2y = 10, we need to substitute the given x and y values into the equation and see if it satisfies the equation.

For the first option, (-3, 2):
3(-3) - 2(2) = -9 - 4 = -13 ≠ 10

For the second option, (4, 1):
3(4) - 2(1) = 12 - 2 = 10

For the third option, (2, -1):
3(2) - 2(-1) = 6 + 2 = 8 ≠ 10

Therefore, the only ordered pair that is a solution to the equation is (4, 1).
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