Question

Is (-5, 0.5) a solution of the system of equations:

x - 4 = 7
0.2x + 2y + 0 = 0
A) Yes.
B) No.

Answer 1

Upon substituting the point (-5, 0.5) into both equations, it satisfies the second equation but not the first, indicating that the point is not a solution to the system of equations.

Step-by-step explanation:

The question is asking whether the point (-5, 0.5) is a solution to the given system of equations. To check this, we substitute x with -5 and y with 0.5 in both equations.

1. For the first equation, x - 4 = 7, when we substitute x with -5, we get: -5 - 4 = 7, which simplifies to -9 = 7. This is not true, hence the point does not satisfy the first equation.
2. For the second equation, 0.2x + 2y + 0 = 0, substituting x with -5 and y with 0.5, we get: 0.2(-5) + 2(0.5) + 0 = 0, which simplifies to -1 + 1 = 0. This is true, but since (-5, 0.5) does not satisfy both equations, it is not a solution to the system of equations.

Therefore, the answer is B) No.