Determine which of the following ordered pairs is a solution to the equation 3x−8=−4y .(1 point) Responses
(−1,1)
(0,2)
(0,−2)
(1,1)
To determine which of the ordered pairs is a solution to the equation, we substitute the values of x and y from each ordered pair into the equation and see if the equation is true.
Let's substitute the values for the first ordered pair (−1,1):
3(-1) - 8 = -4(1)
-3 - 8 = -4
-11 = -4
Since -11 does not equal -4, the first ordered pair (−1,1) is not a solution to the equation.
Let's substitute the values for the second ordered pair (0,2):
3(0) - 8 = -4(2)
0 - 8 = -8
-8 = -8
Since -8 equals -8, the second ordered pair (0,2) is a solution to the equation.
Let's substitute the values for the third ordered pair (0,−2):
3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = 8
Since -8 does not equal 8, the third ordered pair (0,−2) is not a solution to the equation.
Let's substitute the values for the fourth ordered pair (1,1):
3(1) - 8 = -4(1)
3 - 8 = -4
-5 = -4
Since -5 does not equal -4, the fourth ordered pair (1,1) is not a solution to the equation.
Therefore, the only ordered pair that is a solution to the equation is (0,2).