What must be added to 1 - 2x + 3 to obtain 3 + 5x - 7x?
What must be subtracted from 4m + 5m - 3 to obtain m - 3m
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Let the quantity to be added to (1 - 2x + 3) be 'w'.
Thus,
(1 - 2x + 3) + w = 3 + 5x -7x
w = (3 - 4) + (-2x + 2x)
[w = -1 ]
Therefore, -1 must be added to (1 - 2x + 3) to get (3 + 5x -7x)
Now, the second question:
Let the quantity to be subtracted from (4m + 5m - 3) be 'n'.
Thus,
4m + 5m - 3 - n = m - 3m
n = 9m + 2m - 3
[n = 11m - 3 ]
Therefore, (11m - 3) must be subtracted from (4m + 5m - 3) to get (m - 3m)
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