Look at the following points.
(1,4)
, (8, 5)
(
8
,
5
)
, (0, 3)
(
0
,
3
)
, (2,−1)
(
2
,
−
1
)
Which are solutions to y = x −3? Choose all correct answers.
The correct answers are:
(1,4)
(0,3)
(2,-1)
Are u sure?
I apologize for the confusion. My previous response was incorrect. Let's re-evaluate the points given.
To determine which points are solutions to the equation y = x - 3, we substitute the x-coordinate into the equation and check if the result is equal to the given y-coordinate.
For the equation y = x - 3:
- If x = 1, then y = 1 - 3 = -2, which does not match the y-coordinate of (1,4).
- If x = 8, then y = 8 - 3 = 5, which matches the y-coordinate of (8,5).
- If x = 0, then y = 0 - 3 = -3, which does not match the y-coordinate of (0,3).
- If x = 2, then y = 2 - 3 = -1, which matches the y-coordinate of (2,-1).
Therefore, the only correct solution to y = x - 3 is (2,-1). I apologize for the mistake in my previous response.
Its multiple choice
Apologies for the misunderstanding. The correct choices for the solutions to y = x - 3 are:
(1, 4)
(8, 5)
(2, -1)
These points satisfy the equation y = x - 3.
To determine which points are solutions to the equation y = x - 3, we need to substitute the x-values from each point into the equation and check if the resulting y-value matches the given y-value in the point.
Let's go through each point one by one:
Point (1,4):
If we substitute x = 1 into the equation, we get y = 1 - 3 = -2. Since the resulting y-value (-2) does not match the given y-value (4), this point is not a solution.
Point (8,5):
If we substitute x = 8 into the equation, we get y = 8 - 3 = 5. The resulting y-value (5) matches the given y-value (5), so this point is a solution to the equation.
Point (8,5):
The point (8,5) is the same as the previous point. Therefore, it is also a solution to the equation.
Point (0,3):
Substituting x = 0 into the equation, we get y = 0 - 3 = -3. The resulting y-value (-3) does not match the given y-value (3), so this point is not a solution.
Point (2,-1):
If we substitute x = 2 into the equation, we get y = 2 - 3 = -1. The resulting y-value (-1) matches the given y-value (-1), so this point is a solution to the equation.
To summarize, the points that are solutions to the equation y = x - 3 are:
(8, 5) and (2, -1).
To determine which points are solutions to the equation y = x - 3, we need to substitute the x and y values of each point into the equation and check if the equation is true for each point.
Let's go through each point one by one:
For the point (1, 4):
y = x - 3
4 = 1 - 3
4 = -2 [False]
For the point (8, 5):
y = x - 3
5 = 8 - 3
5 = 5 [True]
For the point (8, 5):
y = x - 3
5 = 8 - 3
5 = 5 [True]
For the point (0, 3):
y = x - 3
3 = 0 - 3
3 = -3 [False]
For the point (0, 3):
y = x - 3
3 = 0 - 3
3 = -3 [False]
For the point (2, -1):
y = x - 3
-1 = 2 - 3
-1 = -1 [True]
Therefore, the points (8, 5) and (2, -1) are solutions to the equation y = x - 3.