2. Solve the following equations by systematic method and check your answers;
(iii) 3m +5=m-7
Solve this problem and don't give
nonsense answer.
Answers
3 m - m = -7-5
2m = -12
m = -6
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Answer:
5 – (3x + 4)
5 – 1(3x) – 1(+4)
5 – 3x – 4
5 – 4 – 3x
1 – 3x
Now I can solve in the usual manner:
1 - 3x = 1
-1 -1
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-3x = 0
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-3 -3
x = 0
Is "x = 0" a valid solution? Yes, indeed, it is, because zero is a valid number. It's not that the solution is "nothing"; it's that the solution is "something", and that this "something" is zero. So my answer is:
x = 0
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Students can generally become comfortable with zero being the solution to an equation, but the difference between a solution of "zero" (that solution being a numerical value) and "nothing" (being possibly a physical measure of something like "no apples" or "no money") can cause confusion.
Please make sure that you understand that "zero" itself is not "nothing". Zero is a numerical value which (in "real life" or in the context of a word problem) might imply that there is "nothing" of something or other, but zero itself is a real thing; it exists; it is "something".
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