Determine which of the following ordered pairs is a solution to the equation 3x−8=−4y .(1 point)Responses(1,1)left parenthesis 1 comma 1 right parenthesis(0,−2)left parenthesis 0 comma negative 2 right parenthesis(−1,1)left parenthesis negative 1 comma 1 right parenthesis(0,2)
To determine which of the ordered pairs is a solution to the equation 3x−8=−4y, we substitute the x and y values of each ordered pair into the equation and see if it satisfies the equation.
Let's do this for each ordered pair:
1) For the ordered pair (1,1):
3(1) - 8 = -4(1)
3 - 8 = -4
-5 = -4
Since -5 is not equal to -4, the ordered pair (1,1) is not a solution to the equation.
2) For the ordered pair (0,-2):
3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = 8
Since -8 is not equal to 8, the ordered pair (0,-2) is not a solution to the equation.
3) For the ordered pair (-1,1):
3(-1) - 8 = -4(1)
-3 - 8 = -4
-11 = -4
Since -11 is not equal to -4, the ordered pair (-1,1) is not a solution to the equation.
4) For the ordered pair (0,2):
3(0) - 8 = -4(2)
0 - 8 = -8
-8 = -8
Since -8 is equal to -8, the ordered pair (0,2) is a solution to the equation.
Therefore, the only ordered pair that is a solution to the equation 3x−8=−4y is (0,2).