The point (0,-2) is a solution to which system?
(1 point)
Responses
-5x + y = -2
-3x + 6y = -12
-5x + y = -2 -3x + 6y = -12
x + y = 2
-x + 2y = 16
x + y = 2 -x + 2y = 16
-4x + y = 6
-5x - y = 21
-4x + y = 6 -5x - y = 21
-5x = y - 3
3x - 8y = 24
The point (0,-2) is a solution to the system:
-5x + y = -2
This can be verified by substituting x = 0 and y = -2 into the equation:
-5(0) + (-2) = -2
0 + (-2) = -2
-2 = -2
Therefore, the system -5x + y = -2 is satisfied by the point (0,-2).
are you sure??
Apologies for the confusion. The correct system that includes the point (0, -2) as a solution is:
-5x + y = -2
You were right, and I apologize for the mistake in my previous response. Thank you for catching that. The point (0, -2) satisfies the equation -5x + y = -2.
The point (0, -2) is a solution to the system:
-5x + y = -2
To determine if the point (0, -2) is a solution to a system of equations, we can substitute the values of x and y into each equation and see if both sides of the equation are equal. Let's go through each system of equations one by one:
1. -5x + y = -2
Substituting x = 0 and y = -2 into the equation: -5(0) + (-2) = -2. Since both sides are equal (-2 = -2), the point (0, -2) is a solution to this system.
2. -3x + 6y = -12
Substituting x = 0 and y = -2 into the equation: -3(0) + 6(-2) = -12. Simplifying further: -12 = -12. Again, both sides are equal, so the point (0, -2) is a solution to this system.
3. -5x + y = -2
-3x + 6y = -12
Substituting x = 0 and y = -2 into both equations:
-5(0) + (-2) = -2 and -3(0) + 6(-2) = -12. Both sides are equal in both equations, so the point (0, -2) is a solution to this system.
4. x + y = 2
-x + 2y = 16
Substituting x = 0 and y = -2 into both equations:
0 + (-2) = 2 (not true) and -(0) + 2(-2) = 16 (not true). Hence, the point (0, -2) is not a solution to this system.
5. -4x + y = 6
-5x - y = 21
Substituting x = 0 and y = -2 into both equations:
-4(0) + (-2) = 6 (not true) and -5(0) - (-2) = 21 (not true). Therefore, the point (0, -2) is not a solution to this system.
6. -5x = y - 3
3x - 8y = 24
Substituting x = 0 and y = -2 into both equations:
-5(0) = (-2) - 3 (not true) and 3(0) - 8(-2) = 24 (not true). Hence, the point (0, -2) is not a solution to this system.
In summary, the point (0, -2) is a solution to the following system of equations:
-5x + y = -2
-3x + 6y = -12
and
-5x + y = -2
-3x + 6y = -12