Which ordered pairs in the form (x, y) are solutions to the equation
7x−5y=28?
Select each correct answer.
Responses
(7, 9)
Begin ordered pair 7 comma 9 end ordered pair
(−1, −7)
Begin ordered pair negative 1 comma negative 7 end ordered pair
(−6, −14)
Begin ordered pair negative 6 comma negative 14 end ordered pair
(4, 10)
To check if an ordered pair (x, y) is a solution to the equation 7x - 5y = 28, substitute the values of x and y into the equation and see if it results in a true statement.
Let's check each ordered pair:
1. (7, 9)
Substituting x = 7 and y = 9:
7(7) - 5(9) = 49 - 45 = 4
4 does not equal 28.
2. (-1, -7)
Substituting x = -1 and y = -7:
7(-1) - 5(-7) = -7 + 35 = 28
28 equals 28.
3. (-6, -14)
Substituting x = -6 and y = -14:
7(-6) - 5(-14) = -42 + 70 = 28
28 equals 28.
4. (4, 10)
Substituting x = 4 and y = 10:
7(4) - 5(10) = 28 - 50 = -22
-22 does not equal 28.
Therefore, the correct ordered pairs that are solutions to the equation are:
(−1, −7)
(−6, −14)
To determine which ordered pairs in the form (x, y) are solutions to the equation 7x - 5y = 28, we can substitute the values of x and y into the equation and check if the equation holds true.
Let's check each of the given options:
1. (7, 9):
When we substitute x = 7 and y = 9 into the equation, we get:
7(7) - 5(9) = 49 - 45 = 4, which is not equal to 28.
Therefore, (7, 9) is not a solution.
2. (-1, -7):
When we substitute x = -1 and y = -7 into the equation, we get:
7(-1) - 5(-7) = -7 + 35 = 28, which is equal to 28.
Therefore, (-1, -7) is a solution.
3. (-6, -14):
When we substitute x = -6 and y = -14 into the equation, we get:
7(-6) - 5(-14) = -42 + 70 = 28, which is equal to 28.
Therefore, (-6, -14) is a solution.
4. (4, 10):
When we substitute x = 4 and y = 10 into the equation, we get:
7(4) - 5(10) = 28 - 50 = -22, which is not equal to 28.
Therefore, (4, 10) is not a solution.
Therefore, the correct solutions are:
(-1, -7)
(-6, -14)
To determine which ordered pairs are solutions to the equation 7x - 5y = 28, we need to substitute the x and y values of each ordered pair into the equation and check if the equation holds true.
Let's go through each of the given options:
1. (7, 9)
Substituting x = 7 and y = 9 into the equation:
7(7) - 5(9) = 49 - 45 = 4 ≠ 28
So, (7, 9) is not a solution.
2. (-1, -7)
Substituting x = -1 and y = -7 into the equation:
7(-1) - 5(-7) = -7 + 35 = 28
So, (-1, -7) is a solution.
3. (-6, -14)
Substituting x = -6 and y = -14 into the equation:
7(-6) - 5(-14) = -42 + 70 = 28
So, (-6, -14) is a solution.
4. (4, 10)
Substituting x = 4 and y = 10 into the equation:
7(4) - 5(10) = 28 - 50 = -22 ≠ 28
So, (4, 10) is not a solution.
Therefore, the correct ordered pairs that are solutions to the equation are:
(-1, -7) and (-6, -14).
Which statement about the ordered pairs (3, −8) and (4, 4) is true for the equation 3x−y/4=11?
Responses
(4, 4) is a solution to the equation but not (3, −8).
Begin ordered pair 4 comma 4 end orderd pair, is a solution to the equation but not , Begin ordered pair 3 comma negative 8 end ordered pair, .
Both ordered pairs are solutions.
Both ordered pairs are solutions.
Neither ordered pair is a solution.
Neither ordered pair is a solution.
(3, −8) is a solution to the equation but not (4, 4).
To determine which ordered pairs are solutions to the equation 3x - y/4 = 11, we need to substitute the x and y values of each ordered pair into the equation and check if the equation holds true.
Let's go through each of the given ordered pairs:
1. (3, -8)
Substituting x = 3 and y = -8 into the equation:
3(3) - (-8)/4 = 9 + 2 = 11
So, (3, -8) is a solution to the equation.
2. (4, 4)
Substituting x = 4 and y = 4 into the equation:
3(4) - (4)/4 = 12 - 1 = 11
So, (4, 4) is a solution to the equation.
Therefore, both ordered pairs (3, -8) and (4, 4) are solutions to the equation.