Which of the following ordered pairs is a solution to the equation 3x - 2y = 10?
(2,-1)
(4,1)
(-3,2)
To determine if an ordered pair is a solution to an equation, we substitute the values of x and y into the equation and verify if it holds true or not.
For the given equation, we can substitute the values from each of the ordered pairs:
(2,-1):
3(2) - 2(-1) = 6 + 2 = 8, which is not equal to 10.
(4,1):
3(4) - 2(1) = 12 - 2 = 10, which is equal to 10.
(-3,2):
3(-3) - 2(2) = -9 - 4 = -13, which is not equal to 10.
Therefore, the only ordered pair that is a solution to the equation is (4,1).