Can someone be nice enough to help me with these worksheet front and back
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jimthompson5910 (jim_thompson5910):
If it's possible, please use your phone or some kind of camera to take a snapshot of the worksheets. Then post the images of the worksheets to openstudy. Thank you
OpenStudy (wintersuntime):
It's taking forever
jimthompson5910 (jim_thompson5910):
that's ok. Sometimes tech takes a bit of time to load
OpenStudy (wintersuntime):
Taking forever !!!
OpenStudy (wintersuntime):
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OpenStudy (wintersuntime):
Thats the front page I need help with all of them
OpenStudy (wintersuntime):
The question says 1. For each system below, decide which strategy to use. That is, which method would be the most efficient, convenient, and accurate?
OpenStudy (wintersuntime):
@PillowFace750
jimthompson5910 (jim_thompson5910):
ok one moment while I look it over
OpenStudy (wintersuntime):
okay
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jimthompson5910 (jim_thompson5910):
ok seems reasonable. Did you have an idea how to start or are you completely stumped on the first step?
OpenStudy (wintersuntime):
I'm confused
jimthompson5910 (jim_thompson5910):
which is 1a closely similar to compared to the examples in the box above?
OpenStudy (wintersuntime):
Substitution ?
jimthompson5910 (jim_thompson5910):
yep, you are correct
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jimthompson5910 (jim_thompson5910):
start with the second equation `3x-2y = 4`
then replace all of `x` with `(4-2y)` which is the substitution step
jimthompson5910 (jim_thompson5910):
so `3x-2y = 4` turns into `3(4-2y)-2y = 4`
Do you see how to solve for y?
OpenStudy (wintersuntime):
Then distribute
jimthompson5910 (jim_thompson5910):
yes
OpenStudy (wintersuntime):
I got 12-6y-2y= 4
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jimthompson5910 (jim_thompson5910):
good
OpenStudy (wintersuntime):
Then there are two like terms so I have to add them
jimthompson5910 (jim_thompson5910):
which gets you what?
OpenStudy (wintersuntime):
8
jimthompson5910 (jim_thompson5910):
not just 8, but you're close in a way
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OpenStudy (wintersuntime):
12-8y=4 ?
jimthompson5910 (jim_thompson5910):
much better
jimthompson5910 (jim_thompson5910):
then what?
OpenStudy (wintersuntime):
add 8 on both sides ??
OpenStudy (wintersuntime):
Add 12 on both sides ??
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jimthompson5910 (jim_thompson5910):
not add, but you're close
OpenStudy (wintersuntime):
subtract
jimthompson5910 (jim_thompson5910):
if it helps, think of 12-8y as -8y+12
jimthompson5910 (jim_thompson5910):
yes subtract 12 from both sides
OpenStudy (wintersuntime):
y=1?
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OpenStudy (wintersuntime):
and x=2 ?
jimthompson5910 (jim_thompson5910):
yep y = 1
jimthompson5910 (jim_thompson5910):
and x = 2, good
OpenStudy (wintersuntime):
Now I need help with the second one
jimthompson5910 (jim_thompson5910):
ok one second
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jimthompson5910 (jim_thompson5910):
hopefully you agree that 1b matches with the elimination form?
OpenStudy (wintersuntime):
So its elimination right
jimthompson5910 (jim_thompson5910):
yes, if you were to add the equations up, notice how the y terms combine to
y+y = 2y
we want them to combine to 0y or 0. What change can we make so that the y terms add to 0?
OpenStudy (wintersuntime):
subtract
jimthompson5910 (jim_thompson5910):
or put another way, multiply one of the terms by -1, then add, agreed?
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OpenStudy (wintersuntime):
okay
jimthompson5910 (jim_thompson5910):
ultimately it doesn't matter how you think of it because the two are equivalent
OpenStudy (wintersuntime):
So 1b its elimination with multiplication ??
jimthompson5910 (jim_thompson5910):
yes because we cannot add first until we multiply one of the equations (both sides) by -1
OpenStudy (wintersuntime):
So it looks like this y+y=2y)-1
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