Which ordered pair is a solution of the equation y = –7x + 2?
(1 point)
Responses
A. (1, 2)
B. (8, -54)
C. (5, -35)
D. (1, -7)
To determine which ordered pair is a solution of the equation y = -7x + 2, substitute the values from each ordered pair into the equation and see if the equation holds true.
Let's check each option:
Option A: (1, 2)
Substituting x = 1 and y = 2 into the equation:
2 = -7(1) + 2
2 = -7 + 2
2 = -5
This equation is false.
Option B: (8, -54)
Substituting x = 8 and y = -54 into the equation:
-54 = -7(8) + 2
-54 = -56 + 2
-54 = -54
This equation is true.
Option C: (5, -35)
Substituting x = 5 and y = -35 into the equation:
-35 = -7(5) + 2
-35 = -35 + 2
-35 = -33
This equation is false.
Option D: (1, -7)
Substituting x = 1 and y = -7 into the equation:
-7 = -7(1) + 2
-7 = -7 + 2
-7 = -5
This equation is false.
Therefore, the ordered pair that is a solution of the equation y = -7x + 2 is B. (8, -54).
To check which ordered pair is a solution of the equation y = -7x + 2, plug in the x-coordinate of each ordered pair into the equation and see if the resulting y-coordinate matches.
Let's check each option:
For option A - (1, 2):
y = -7x + 2
2 = -7(1) + 2
2 = -7 + 2
2 = -5
Since 2 does not equal -5, option A is not a solution.
For option B - (8, -54):
y = -7x + 2
-54 = -7(8) + 2
-54 = -56 + 2
-54 = -54
Since -54 is equal to -54, option B is a solution.
For option C - (5, -35):
y = -7x + 2
-35 = -7(5) + 2
-35 = -35 + 2
-35 = -33
Since -35 does not equal -33, option C is not a solution.
For option D - (1, -7):
y = -7x + 2
-7 = -7(1) + 2
-7 = -7 + 2
-7 = -5
Since -7 does not equal -5, option D is not a solution.
Therefore, the only ordered pair that is a solution of the equation y = -7x + 2 is option B, (8, -54).
To determine which ordered pair is a solution of the equation y = -7x + 2, we need to substitute the values of x and y from each option into the given equation and see if the equation holds true.
Let's check each option:
Option A: (1, 2)
If we substitute x = 1 and y = 2 into the equation y = -7x + 2, we get:
2 = -7(1) + 2
2 = -7 + 2
2 = -5
This equation is not true, so option A is not a solution.
Option B: (8, -54)
If we substitute x = 8 and y = -54 into the equation y = -7x + 2, we get:
-54 = -7(8) + 2
-54 = -56 + 2
-54 = -54
This equation is true, so option B is a solution.
Option C: (5, -35)
If we substitute x = 5 and y = -35 into the equation y = -7x + 2, we get:
-35 = -7(5) + 2
-35 = -35 + 2
-35 = -33
This equation is not true, so option C is not a solution.
Option D: (1, -7)
If we substitute x = 1 and y = -7 into the equation y = -7x + 2, we get:
-7 = -7(1) + 2
-7 = -7 + 2
-7 = -5
This equation is not true, so option D is not a solution.
Therefore, the only ordered pair that is a solution of the equation y = -7x + 2 is option B: (8, -54).
–4 = g + 1?
To solve the equation –4 = g + 1, you need to isolate the variable g.
First, subtract 1 from both sides of the equation:
–4 - 1 = g + 1 - 1
–5 = g
Therefore, the solution to the equation –4 = g + 1 is g = -5.