A student is solving a system of equations by substitution and comes up with the solution -3=2. Assuming that she solved the problem correctly, which of the following can be said about this system of equations?

A) the system has exactly 1 solution.
B) the system has exactly 2 solutions.
C) the system has infinitely many solutions.
D) the system has no solution.

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Respuesta :

Answer:

D) the system has no solution.

Step-by-step explanation:

A student is solving a system of equations by substitution and comes up with the solution -3=2.

So, the unknown variables are canceled out and there are only numbers in the equation but -3 ≠ 2.

If we assume that she solved the problem correctly, then there will be no solution for that system of equations because there is no variable remaining in the final equation to solve for. (Answer)