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When simplified, which of the following expressions has a coefficient of -3?

-2 m + 5 m
-5 m + 2 m
5 m - 2 m
2 m + 5 m

1 answer

Let's simplify each expression one by one and check their coefficients.

  1. Expression: \(-2m + 5m\) \[ -2m + 5m = (5 - 2)m = 3m \] Coefficient: \(3\)

  2. Expression: \(-5m + 2m\) \[ -5m + 2m = (2 - 5)m = -3m \] Coefficient: \(-3\)

  3. Expression: \(5m - 2m\) \[ 5m - 2m = (5 - 2)m = 3m \] Coefficient: \(3\)

  4. Expression: \(2m + 5m\) \[ 2m + 5m = (2 + 5)m = 7m \] Coefficient: \(7\)

From the simplifications, the expression \(-5m + 2m\) results in a coefficient of \(-3\).

Thus, the answer is: \(-5m + 2m\) has a coefficient of \(-3\).