Determine which of the following ordered pairs is a solution to the equation 3x−8=−4y .(1 point) Responses (0,−2) left parenthesis 0 comma negative 2 right parenthesis (0,2) left parenthesis 0 comma 2 right parenthesis (−1,1) left parenthesis negative 1 comma 1 right parenthesis (1,1)
To determine if an ordered pair is a solution to the equation, we substitute the values into the equation to see if it is true. Let's check each option:
1) For the ordered pair (0, -2):
Substituting the x-value and y-value into the equation, we get:
3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = 8
This is not true, so (0, -2) is not a solution to the equation.
2) For the ordered pair (0, 2):
Substituting the x-value and y-value into the equation, we get:
3(0) - 8 = -4(2)
0 - 8 = -8
-8 = -8
This is true, so (0, 2) is a solution to the equation.
3) For the ordered pair (-1, 1):
Substituting the x-value and y-value into the equation, we get:
3(-1) - 8 = -4(1)
-3 - 8 = -4
-11 = -4
This is not true, so (-1, 1) is not a solution to the equation.
4) For the ordered pair (1, 1):
Substituting the x-value and y-value into the equation, we get:
3(1) - 8 = -4(1)
3 - 8 = -4
-5 = -4
This is not true, so (1, 1) is not a solution to the equation.
Therefore, the only ordered pair that is a solution to the equation 3x - 8 = -4y is (0, 2).