SOLUTION: Solve for n: S = n/2 (a + l) 2S = n (2a + 2l) 2S / 2 = 2an + 2ln / 2 S = an + ln How do I continue? Non-homework.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Solve for n: S = n/2 (a + l) 2S = n (2a + 2l) 2S / 2 = 2an + 2ln / 2 S = an + ln How do I continue? Non-homework.      Log On

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Question 1086752: Solve for n:
S = n/2 (a + l)
2S = n (2a + 2l)
2S / 2 = 2an + 2ln / 2
S = an + ln
How do I continue? Non-homework.

Found 2 solutions by math_helper, MathTherapy:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+S+=+%28n%2F2%29%28a%2Bl%29%29++ <<< Assuming this is what you intended for starting expression, same as S=(n/2)(a+l)
+%28n%2F2%29%28a%2Bl%29+=+S+ ( Rearranged left and right sides, since we're solving for n let's write it on left. )
+n%28a%2Bl%29+=+2S ( Multiplied both sides by 2. )
+n+=+2S%2F%28a%2Bl%29+ ( +cross%28Multiplied%29+ Divided both sides by a+l. Done. )


Your 2nd step above has an error: S = (n/2)(a+l) becomes 2S = n(a+l) after multiplying both sides by 2, not 2S=n(2a+2l).

S++=+%28n%2F2%29%28a%2Bl%29+
2S+=+%282n%2F2%29%28a%2Bl%29%29+
+2S+=+cross%282%29n%2F%28cross%282%29%29+%2A+%28a%2Bl%29+
——
7/5/17 - I corrected my last two steps, which had an error. Apologies for that.
7/8/17 - Meant to add that the domain restriction +a%2Bl+%3C%3E+0+ must accompany the answer.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for n:
S = n/2 (a + l)
2S = n (2a + 2l)
2S / 2 = 2an + 2ln / 2
S = an + ln
How do I continue? Non-homework.
S+=+%28n%2F2%29%28a+%2B+L%29 <===== l appears to be L, not 1, I guess
S+=+n%28a+%2B+L%29%2F2
n(a + L) = 2S ------ Cross-multiplying
highlight_green%28matrix%281%2C3%2C+n%2C+%22=%22%2C+2S%2F%28a+%2B+L%29%29%29
IGNORE all other RIDICULOUS answers!!