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
(2,−1)open paren 2 comma negative 1 close paren
(−3,2)open paren negative 3 comma 2 close paren
To determine which of the ordered pairs is a solution to the equation 3x - 2y = 10, substitute the x and y values into the equation and see if it results in a true statement.
Let's check each option:
1) For (4,1):
3(4) - 2(1) = 12 - 2 = 10
The equation is true for (4,1).
2) For (2,-1):
3(2) - 2(-1) = 6 + 2 = 8
The equation is not true for (2,-1).
3) For (-3,2):
3(-3) - 2(2) = -9 - 4 = -13
The equation is not true for (-3,2).
Therefore, the only ordered pair that is a solution to the equation is (4,1).