alurahenderson
  • alurahenderson
What is the solution to the equation? 2q + 18 = –5q – 3 A. q = –5 B. q = –3 C. q = 3 D. q = 5
Mathematics
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SOLVED
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katieb
  • katieb
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pooja195
  • pooja195
Isolate q
pooja195
  • pooja195
Start by combining the LIKE TERMS
alurahenderson
  • alurahenderson
20q?

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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
alurahenderson
  • alurahenderson
Oh so -2 on both sides?
alurahenderson
  • alurahenderson
I didn't see that
pooja195
  • pooja195
You can also do it that way :)
alurahenderson
  • alurahenderson
22q and 8q?
pooja195
  • pooja195
\[\huge ~2q+18+5q=−5q−3+5q\]
pooja195
  • pooja195
whats 5+2=? whats -5+5?
alurahenderson
  • alurahenderson
7 and 0
pooja195
  • pooja195
Good so now we have \[\huge~7q+18=-3\] any ideas on what the next step may be?
alurahenderson
  • alurahenderson
-3 on both sides?
pooja195
  • pooja195
hmm no we are isolating q so subtract 18
pooja195
  • pooja195
From both sides
alurahenderson
  • alurahenderson
I was gonna say -18 but I didn't think so
pooja195
  • pooja195
Well you were right :) -3-18=?
alurahenderson
  • alurahenderson
0
alurahenderson
  • alurahenderson
And -11
pooja195
  • pooja195
no try again.
alurahenderson
  • alurahenderson
-21
pooja195
  • pooja195
good whats -21/7
alurahenderson
  • alurahenderson
-3
pooja195
  • pooja195
Good so we get x=-3 :)
alurahenderson
  • alurahenderson
Thank you again!!
pooja195
  • pooja195
:)

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