Which are solutions to y = x −3? Choose all correct answers
(1,4)
(8, 5)
(0, 3)
(2,−1)
The equation y = x - 3 can be solved by substituting the given x and y values into the equation and checking if both sides are equal.
Let's check each answer option:
1) For (1,4):
y = x - 3 => 4 = 1 - 3 => 4 = -2
This is not true, so (1,4) is not a solution.
2) For (8,5):
y = x - 3 => 5 = 8 - 3 => 5 = 5
This is true, so (8,5) is a solution.
3) For (0,3):
y = x - 3 => 3 = 0 - 3 => 3 = -3
This is not true, so (0,3) is not a solution.
4) For (2,-1):
y = x - 3 => -1 = 2 - 3 => -1 = -1
This is true, so (2,-1) is a solution.
Therefore, the solutions to the equation y = x - 3 are:
(8,5) and (2,-1)
To find the solutions to the equation y = x - 3, we can substitute the given values of x and check if the equation holds true.
Let's check each option:
(1, 4):
Substituting x = 1 into the equation, we get y = 1 - 3 = -2, which doesn't match y = 4. Therefore, (1, 4) is not a solution.
(8, 5):
Substituting x = 8 into the equation, we get y = 8 - 3 = 5, which matches y = 5. Therefore, (8, 5) is a solution.
(0, 3):
Substituting x = 0 into the equation, we get y = 0 - 3 = -3, which doesn't match y = 3. Therefore, (0, 3) is not a solution.
(2, -1):
Substituting x = 2 into the equation, we get y = 2 - 3 = -1, which matches y = -1. Therefore, (2, -1) is a solution.
Based on the calculations, the correct solutions are:
(8, 5) and (2, -1).
To determine which solutions are correct for the equation y = x - 3, you need to substitute the given values of x and y into the equation and see if the equation holds true. Let's check each option one by one:
Option (1, 4):
When x = 1, substituting into the equation:
y = x - 3
4 = 1 - 3
4 = -2
This equation is not true, so (1, 4) is not a solution.
Option (8, 5):
When x = 8, substituting into the equation:
y = x - 3
5 = 8 - 3
5 = 5
This equation is true, so (8, 5) is a solution.
Option (0, 3):
When x = 0, substituting into the equation:
y = x - 3
3 = 0 - 3
3 = -3
This equation is not true, so (0, 3) is not a solution.
Option (2, -1):
When x = 2, substituting into the equation:
y = x - 3
-1 = 2 - 3
-1 = -1
This equation is true, so (2, -1) is a solution.
Therefore, the correct solutions to y = x - 3 are:
(8, 5) and (2, -1).