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 of equations:
-5x + y = -2
-3x + 6y = -12
The point (0,-2) is a solution to the system:
-5x + y = -2
-3x + 6y = -12
To determine which system the point (0, -2) is a solution to, we need to substitute the x and y values of the point into each equation and see which system gives us a true statement.
Let's substitute the x and y values of (0, -2) into the first system of equations:
-5x + y = -2
Substituting x = 0 and y = -2:
-5(0) + (-2) = -2
0 - 2 = -2
-2 = -2
The equation is true when we substitute the given values into the first equation of the first system. Now let's check the other equations of the first system:
-3x + 6y = -12
Substituting x = 0 and y = -2:
-3(0) + 6(-2) = -12
0 - 12 = -12
-12 = -12
The equation is also true when we substitute the given values into the second equation of the first system.
Therefore, we can conclude that the point (0, -2) is a solution to the first system of equations:
-5x + y = -2
-3x + 6y = -12