To determine if a given ordered pair is a solution to the equation, we substitute the values of x and y into the equation and check if the equation holds true.
For the first ordered pair (2,-1):
3x - 2y = 10
3(2) - 2(-1) = 10
6 + 2 = 10
8 = 10
Since 8 is not equal to 10, the first ordered pair is NOT a solution to the equation.
For the second ordered pair (4,1):
3x - 2y = 10
3(4) - 2(1) = 10
12 - 2 = 10
10 = 10
Since 10 is equal to 10, the second ordered pair is a solution to the equation.
For the third ordered pair (-3,2):
3x - 2y = 10
3(-3) - 2(2) = 10
-9 - 4 = 10
-13 = 10
Since -13 is not equal to 10, the third ordered pair is NOT a solution to the equation.
Therefore, the only solution to the equation 3x - 2y = 10 is the ordered pair (4,1).
Which of the following ordered pairs is a solution to the equation 3x - 2y = 10?
(2,-1)
(4,1)
(-3,2)
1 answer
1 answer