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

Responses

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

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

(2,−1)

1 answer

To determine which of the ordered pairs is a solution to the equation, we substitute the values of x and y into the equation and see if the equation holds true.

For (4, 1):
3(4) - 2(1) = 12 - 2 = 10
Since the equation holds true, (4, 1) is a solution to the equation.

For (-3, 2):
3(-3) - 2(2) = -9 - 4 = -13
Since the equation does not hold true, (-3, 2) is not a solution to the equation.

For (2, -1):
3(2) - 2(-1) = 6 + 2 = 8
Since the equation does not hold true, (2, -1) is not a solution to the equation.

Therefore, the ordered pair (4, 1) is the only solution to the equation 3x - 2y = 10.