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 (0,−3) open paren 0 comma negative 3 close paren (2,−1) open paren 2 comma negative 1 close paren (4,1)
To determine the solution to the equation 3x - 2y = 10, we can substitute the values from each of the given ordered pairs into the equation and check if the equation holds true.
Let's substitute the values from each ordered pair:
1) For (-3, 2):
3x - 2y = 3(-3) - 2(2) = -9 - 4 = -13
2) For (0, -3):
3x - 2y = 3(0) - 2(-3) = 0 + 6 = 6
3) For (2, -1):
3x - 2y = 3(2) - 2(-1) = 6 + 2 = 8
4) For (4, 1):
3x - 2y = 3(4) - 2(1) = 12 - 2 = 10
Only for the ordered pair (4, 1) does the equation 3x - 2y = 10 hold true. Therefore, the solution to the equation is (4, 1).