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OpenStudy (alurahenderson):
What is the solution to the equation?
2q + 18 = –5q – 3
A.
q = –5
B.
q = –3
C.
q = 3
D.
q = 5
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pooja195 (pooja195):
Isolate q
pooja195 (pooja195):
Start by combining the LIKE TERMS
OpenStudy (alurahenderson):
20q?
pooja195 (pooja195):
hmmm not quite
We want to combine like terms this would mean subtracting and adding from the other side of the equation
pooja195 (pooja195):
Step 1: Add 5q to both sides.
2q+18+5q=−5q−3+5q
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OpenStudy (alurahenderson):
Oh so -2 on both sides?
OpenStudy (alurahenderson):
I didn't see that
pooja195 (pooja195):
You can also do it that way :)
OpenStudy (alurahenderson):
22q and 8q?
pooja195 (pooja195):
\[\huge ~2q+18+5q=−5q−3+5q\]
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pooja195 (pooja195):
whats 5+2=?
whats -5+5?
OpenStudy (alurahenderson):
7 and 0
pooja195 (pooja195):
Good so now we have
\[\huge~7q+18=-3\]
any ideas on what the next step may be?
OpenStudy (alurahenderson):
-3 on both sides?
pooja195 (pooja195):
hmm no we are isolating q so subtract 18
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pooja195 (pooja195):
From both sides
OpenStudy (alurahenderson):
I was gonna say -18 but I didn't think so
pooja195 (pooja195):
Well you were right :)
-3-18=?
OpenStudy (alurahenderson):
0
OpenStudy (alurahenderson):
And -11
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pooja195 (pooja195):
no try again.
OpenStudy (alurahenderson):
-21
pooja195 (pooja195):
good whats -21/7
OpenStudy (alurahenderson):
-3
pooja195 (pooja195):
Good so we get x=-3 :)
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OpenStudy (alurahenderson):
Thank you again!!
pooja195 (pooja195):
:)
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