Which ordered pair is a solution of the equation y = –7x + 2? (1 point) Responses (1, 2) (1, 2) (8, –54) (8, –54) (5, –35) (5, –35) (1, –7) (1, –7)
(1, -7)
To find which ordered pair is a solution of the equation y = -7x + 2, 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 ordered pair:
(1, 2):
- Substituting x = 1 and y = 2 into the equation:
2 = -7(1) + 2
Simplifying the equation:
2 = -7 + 2
This equation is not true.
(8, -54):
- Substituting x = 8 and y = -54 into the equation:
-54 = -7(8) + 2
Simplifying the equation:
-54 = -56 + 2
This equation is not true.
(5, -35):
- Substituting x = 5 and y = -35 into the equation:
-35 = -7(5) + 2
Simplifying the equation:
-35 = -35 + 2
This equation is true.
(1, -7):
- Substituting x = 1 and y = -7 into the equation:
-7 = -7(1) + 2
Simplifying the equation:
-7 = -7 + 2
This equation is true.
Therefore, the ordered pair that is a solution of the equation y = -7x + 2 is (1, -7).
To determine which ordered pair is a solution of the equation y = -7x + 2, we can substitute the values of x and y in each ordered pair into the equation and see if it holds true.
For the first ordered pair (1, 2):
- Substituting x = 1 and y = 2 into the equation, we have:
2 = -7(1) + 2
2 = -7 + 2
2 = -5
Since 2 is not equal to -5, the first ordered pair (1, 2) is not a solution of the equation.
For the second ordered pair (8, -54):
- Substituting x = 8 and y = -54 into the equation, we have:
-54 = -7(8) + 2
-54 = -56 + 2
-54 = -54
Since -54 is equal to -54, the second ordered pair (8, -54) is a solution of the equation.
For the third ordered pair (5, -35):
- Substituting x = 5 and y = -35 into the equation, we have:
-35 = -7(5) + 2
-35 = -35 + 2
-35 = -33
Since -35 is not equal to -33, the third ordered pair (5, -35) is not a solution of the equation.
For the fourth ordered pair (1, -7):
- Substituting x = 1 and y = -7 into the equation, we have:
-7 = -7(1) + 2
-7 = -7 + 2
-7 = -5
Since -7 is not equal to -5, the fourth ordered pair (1, -7) is not a solution of the equation.
Based on this analysis, the only ordered pair that is a solution of the equation y = -7x + 2 is the second option, (8, -54).