(1,4), (8,5), (0,3), (2,-1)
Which are solutions to y=x -3? Chose all correct answers.
To find which points are solutions to the equation y = x - 3, we can substitute the x and y values of each point into the equation and see if the equation holds true.
For point (1,4):
4 = 1 - 3
4 = -2
For point (8,5):
5 = 8 - 3
5 = 5
For point (0,3):
3 = 0 - 3
3 = -3
For point (2,-1):
-1 = 2 - 3
-1 = -1
From the calculations above, we can conclude that the points (8,5) and (2,-1) are solutions to the equation y = x - 3.
To determine which points are solutions to the equation y = x - 3, we can substitute the x and y values of each point into the equation and see if the equation holds true.
1. For the point (1,4):
Substituting x = 1 and y = 4 into the equation: 4 = 1 - 3
The equation holds true, so (1,4) is a solution.
2. For the point (8,5):
Substituting x = 8 and y = 5 into the equation: 5 = 8 - 3
The equation holds true, so (8,5) is a solution.
3. For the point (0,3):
Substituting x = 0 and y = 3 into the equation: 3 = 0 - 3
The equation holds true, so (0,3) is a solution.
4. For the point (2,-1):
Substituting x = 2 and y = -1 into the equation: -1 = 2 - 3
The equation holds true, so (2,-1) is a solution.
Therefore, all the given points (1,4), (8,5), (0,3), and (2,-1) are solutions to the equation y = x - 3.
To determine which points are solutions to the equation y = x - 3, you need to substitute the values of the x-coordinate of each point into the equation and check if the resulting y-coordinate matches.
Let's go through each point one by one:
Point (1, 4):
Substituting the x-coordinate (1) into the equation, we have:
4 = 1 - 3
4 = -2
Since -2 is not equal to 4, the point (1, 4) is not a solution to the equation.
Point (8, 5):
Substituting the x-coordinate (8) into the equation, we have:
5 = 8 - 3
5 = 5
Since 5 is equal to 5, the point (8, 5) is a solution to the equation.
Point (0, 3):
Substituting the x-coordinate (0) into the equation, we have:
3 = 0 - 3
3 = -3
Since -3 is not equal to 3, the point (0, 3) is not a solution to the equation.
Point (2, -1):
Substituting the x-coordinate (2) into the equation, we have:
-1 = 2 - 3
-1 = -1
Since -1 is equal to -1, the point (2, -1) is a solution to the equation.
Therefore, the correct answers are:
- (8, 5)
- (2, -1)