Question 16045: solve the problem and describe the steps you used 7 - 4c = 10c
Answer by AnlytcPhil(1808)   (Show Source):
You can put this solution on YOUR website!
solve the problem and describe the steps you used
7 - 4c = 10c
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7 - 4c = 10c
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There are two terms on the left. They are 7 and -4c. There is one
term on the right, 10c.
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We want to get rid of all terms on the left which DON'T contain c, and
get rid of all terms on the right that DO contain c.
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The term 7 is on the left and does not contain c. So we get rid of it
on the left by adding the opposite of 7, namely -7, to both sides of
the equation:
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` ` ` ` ` ` ` ` `7 - 4c = 10c
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` ` ` ` ` ` `7 - 4c - 7 = 10c - 7
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That gives ` ` ` ` `-4c = 10c - 7
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The term 10c on the right contains c. So we get rid of it on the right
by adding the opposite of 10c, namely -10c, to both sides of
the equation:
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` ` ` ` ` ` ` -4c - 10c = 10c - 7 - 10c
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That gives ` ` ` ` -14c = -7
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Now we divide both sides of the equation by the coefficient of c on the left, which is -14:
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` ` ` ` ` ` ` ` ` `-14c` ` `-7
` ` ` ` ` ` ` ` ` ------ = -----
` ` ` ` ` ` ` ` ` ` -14 ` ` -14
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Now cancel the -14's on the left, and cancel the negative signs on the right, and get
` ` ` ` ` ` ` ` ` ` ` ` ` ` `7
` ` ` ` ` ` ` ` ` ` ` `c = -----
` ` ` ` ` ` ` ` ` ` ` ` ` ` 14
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Now reduce 7/14 to 1/2
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` ` ` ` ` ` ` ` ` ` ` ` ` ` 1
` ` ` ` ` ` ` ` ` ` ` `c = ---
` ` ` ` ` ` ` ` ` ` ` ` ` ` 2
`
Edwin
AnlytcPhil@aol.com
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