Question

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

(1 point)
Responses

A. -4x + y = 6
-5x - y = 21
B.-5x + y = -2
-3x + 6y = -12
C.-5x = y - 3
3x - 8y = 24
D.x + y = 2
-x + 2y = 16

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 which one satisfies the equation.

Let's substitute the values into each equation:

A. -4x + y = 6
(-4)(0) + (-2) = 6
-2 = 6 (not satisfied)

B. -5x + y = -2
(-5)(0) + (-2) = -2
-2 = -2 (satisfied)

C. -5x = y - 3
(-5)(0) = (-2) - 3
0 = -5 (not satisfied)

D. x + y = 2
0 + (-2) = 2
-2 = 2 (not satisfied)

Therefore, the point (0,-2) is a solution to System B.