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
(−1,1)
left parenthesis negative 1 comma 1 right parenthesis
(0,−2)
left parenthesis 0 comma negative 2 right parenthesis
(0,2)
To determine if an ordered pair is a solution to the equation 3x-8 = -4y, substitute the values of x and y into the equation and see if it satisfies the equation.
Let's check each ordered pair:
1) (1, 1)
Substituting x=1 and y=1 into the equation 3x-8 = -4y:
3(1) - 8 = -4(1)
3 - 8 = -4
-5 = -4
Since -5 is not equal to -4, (1, 1) is not a solution to the equation.
2) (-1, 1)
Substituting x=-1 and y=1 into the equation 3x-8 = -4y:
3(-1) - 8 = -4(1)
-3 - 8 = -4
-11 = -4
Since -11 is not equal to -4, (-1, 1) is not a solution to the equation.
3) (0, -2)
Substituting x=0 and y=-2 into the equation 3x-8 = -4y:
3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = 8
Since -8 is not equal to 8, (0, -2) is not a solution to the equation.
4) (0, 2)
Substituting x=0 and y=2 into the equation 3x-8 = -4y:
3(0) - 8 = -4(2)
0 - 8 = -8
-8 = -8
Since -8 is equal to -8, (0, 2) is a solution to the equation.
Therefore, the ordered pair (0, 2) is the solution to the equation 3x-8 = -4y.
To determine which of the given ordered pairs is a solution to the equation 3x - 8 = -4y, we need to substitute each of the x and y values into the equation and check for equality. Let's go through each option:
1. (1,1)
Substituting x = 1 and y = 1 into the equation:
3(1) - 8 = -4(1)
3 - 8 = -4
-5 = -4
Since -5 is not equal to -4, this ordered pair is not a solution.
2. (-1,1)
Substituting x = -1 and y = 1 into the equation:
3(-1) - 8 = -4(1)
-3 - 8 = -4
-11 = -4
Again, -11 is not equal to -4. So, this ordered pair is not a solution either.
3. (0,-2)
Substituting x = 0 and y = -2 into the equation:
3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = 8
Once again, -8 is not equal to 8. Therefore, this ordered pair is not a solution.
4. (0,2)
Substituting x = 0 and y = 2 into the equation:
3(0) - 8 = -4(2)
0 - 8 = -8
-8 = -8
Finally, we have equality. -8 is indeed equal to -8. Hence, this ordered pair (0, 2) is a solution to the equation 3x - 8 = -4y.
Therefore, the correct answer is: (0, 2) (left parenthesis 0 comma 2 right parenthesis)