Solve the following system of equations. 9x + 5y = -154 4x + y = -22
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jimthompson5910 (jim_thompson5910):
the system is
9x + 5y = -154
4x + y = -22
right?
jimthompson5910 (jim_thompson5910):
or no?
jimthompson5910 (jim_thompson5910):
type here @jazzykaila33
jimthompson5910 (jim_thompson5910):
where it says "type your reply"
OpenStudy (anonymous):
okay sorry
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OpenStudy (anonymous):
Joanna went school supply shopping. She spent $27.72 on notebooks and pencils. Notebooks cost $1.96 each and pencils cost $1.14 each. She bought a total of 20 notebooks and pencils. How many of each did she buy?
4 notebooks; 16 pencils
6 notebooks; 14 pencils
9 notebooks; 11 pencils
11 notebooks; 9 pencils
jimthompson5910 (jim_thompson5910):
that's fine, but what about the first one?
OpenStudy (anonymous):
the question got deleted so I cant pull it back up, sorry for the difficulties
jimthompson5910 (jim_thompson5910):
oh, I see, that's fine
jimthompson5910 (jim_thompson5910):
let
n = # of notebooks
p = # of pencils
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jimthompson5910 (jim_thompson5910):
"She bought a total of 20 notebooks and pencils."
so which equation can we form?
jimthompson5910 (jim_thompson5910):
sorry the site glitched
jimthompson5910 (jim_thompson5910):
I'm back
jimthompson5910 (jim_thompson5910):
let
n = # of notebooks
p = # of pencils
"She bought a total of 20 notebooks and pencils."
so which equation can we form?
jimthompson5910 (jim_thompson5910):
see here @jazzykaila33
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OpenStudy (anonymous):
got it!
OpenStudy (anonymous):
ready
OpenStudy (anonymous):
not so sure but i think its standard form we can use Ax+by=c
jimthompson5910 (jim_thompson5910):
we have n notebooks and p pencils
we have a total of 20 notebooks and pencils
so what can we do with n and p to get 20?
OpenStudy (anonymous):
add?
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jimthompson5910 (jim_thompson5910):
yes, add n and p to get 20
n+p = 20
jimthompson5910 (jim_thompson5910):
which variable do you want to isolate?
n? or p?
OpenStudy (anonymous):
um. lets do n
jimthompson5910 (jim_thompson5910):
ok so we have n+p = 20
to isolate n, we need to move that p over
jimthompson5910 (jim_thompson5910):
how do we do this?
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OpenStudy (anonymous):
make the numbers x out by subtracting its opposite?