Determine which of the following ordered pairs is a solution to the equation 3х — 8 = —4y. (1 point)
O (-1, 1)
O (0, -2)
O. (0,2)
O (1,1)
To determine which of the given ordered pairs is a solution to the equation 3x - 8 = -4y, we can substitute the x and y values into the equation and check if the equality holds.
For the ordered pair (-1, 1), the equation becomes: 3(-1) - 8 = -4(1)
Which simplifies to: -3 - 8 = -4
This is not true, so (-1, 1) is not a solution.
For the ordered pair (0, -2), the equation becomes: 3(0) - 8 = -4(-2)
Which simplifies to: 0 - 8 = 8
This is not true, so (0, -2) is not a solution.
For the ordered pair (0, 2), the equation becomes: 3(0) - 8 = -4(2)
Which simplifies to: 0 - 8 = -8
This is true, so (0, 2) is a solution.
For the ordered pair (1, 1), the equation becomes: 3(1) - 8 = -4(1)
Which simplifies to: 3 - 8 = -4
This is not true, so (1, 1) is not a solution.
Therefore, the only ordered pair that is a solution to the equation 3x - 8 = -4y is (0, 2).
To determine which of the given ordered pairs is a solution to the equation 3x - 8 = -4y, we need to substitute the x and y values into the equation and check if it holds true.
Let's check each option one by one:
For the ordered pair (-1, 1):
Substituting x = -1 and y = 1 into the equation:
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.
For the ordered pair (0, -2):
Substituting x = 0 and y = -2 into the equation:
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.
For the ordered pair (0, 2):
Substituting x = 0 and y = 2 into the equation:
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.
For the ordered pair (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, the ordered pair (1, 1) is not a solution to the equation.
Therefore, the two ordered pairs that are solutions to the equation 3x - 8 = -4y are: (0, -2) and (0, 2).
To determine which of the given ordered pairs is a solution to the equation 3x - 8 = -4y, we need to substitute the values of x and y from each pair into the equation and check if it holds true.
Let's go through each ordered pair:
1. Ordered pair (-1, 1):
For x = -1 and y = 1,
Substituting these values into the equation, we have:
3(-1) - 8 = -4(1)
-3 - 8 = -4
-11 = -4
This is not true, so (-1, 1) is not a solution to the equation.
2. Ordered pair (0, -2):
For x = 0 and y = -2,
Substituting these values into the equation, we have:
3(0) - 8 = -4(-2)
0 - 8 = 8
-8 = 8
This is also not true, so (0, -2) is not a solution to the equation.
3. Ordered pair (0, 2):
For x = 0 and y = 2,
Substituting these values into the equation, we have:
3(0) - 8 = -4(2)
0 - 8 = -8
-8 = -8
This is true, so (0, 2) is a solution to the equation.
4. Ordered pair (1, 1):
For x = 1 and y = 1,
Substituting these values into the equation, we have:
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 ordered pair (0, 2) is the only solution to the equation 3x - 8 = -4y.