Question

What is 6= -2/3m? Explain how you got your answer please. :)

Answer 1

Answer:

  m = -9

Step-by-step explanation:

The coefficient of m is -2/3. To "undo" multiplication by -2/3, you must multiply by its reciprocal, -3/2. Multiplying both sides of the equation by -3/2 gives ...

  (-3/2)(6) = (-3/2)(-2/3)m

  -9 = m . . . . . . simplify

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In general, to solve an equation, you "undo" what has been done to the variable. If something has been added, you subtract it. If it is multiplied by something, you multiply by the inverse of that.

Answer 2

m = -9!

Proof:

$6=-\frac{2}{3}m\\\\[Multiply by 3 to cancel the fraction, the result is]\\\\6(3)=-2m\\18=-2m\\\\[Now divide by -2 to get your answer]\\\\m = -9$

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