Question

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The point (0,-2) is a solution to which system?

(1 point)
Responses

-4x + y = 6

-5x - y = 21

-4x + y = 6 -5x - y = 21

x + y = 2

-x + 2y = 16

x + y = 2 -x + 2y = 16

-5x = y - 3

3x - 8y = 24

-5x = y - 3 3x - 8y = 24

-5x + y = -2

-3x + 6y = -12

Answer 1

To determine which system the point (0,-2) is a solution to, we can substitute the values of x = 0 and y = -2 into each equation and see if the equation holds true.

For the system -4x + y = 6 and -5x - y = 21:
-4(0) + (-2) = 6
-2 = 6, which is not true
-5(0) - (-2) = 21
2 = 21, which is not true

For the system x + y = 2 and -x + 2y = 16:
0 + (-2) = 2
-2 = 2, which is not true
-(0) + 2(-2) = 16
-4 = 16, which is not true

For the system -5x = y - 3 and 3x - 8y = 24:
-5(0) = (-2) - 3
0 = -2 - 3, which is not true
3(0) - 8(-2) = 24
16 = 24, which is not true

For the system -5x + y = -2 and -3x + 6y = -12:
-5(0) + (-2) = -2
-2 = -2, which is true
-3(0) + 6(-2) = -12
-12 = -12, which is true

Therefore, the point (0,-2) is a solution to the system -5x + y = -2 and -3x + 6y = -12.