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Description:
If c is a constant integer and c > 0, which of the following could be the graph of 3y – 2x = c(5x + 8y) in the xy-plane?
Transcript
- 00:00
Yeah Charge here We're going to show you another way
- 02:02
You could have solved this problem Yeah a bonus round
- 02:05
But you could also have done this problem without choosing
- 02:07
a value for c Use what you know about the
- 02:10
order of operations You know that him dusting it's three
Full Transcript
- 02:13
y minus two Ax equals c times quantity There We
- 02:16
kind of simplified things Distribute out the sea There seems
- 02:19
like the equation just got a little less ugly when
- 02:21
working with two unknowns like x and y it's always
- 02:24
a good idea to move all like terms to the
- 02:26
same side of the equation And that gets us three
- 02:28
Why minus eight c y which equals five c x
- 02:31
plus two x for all the white terms Air on
- 02:34
the left and all the ex terms are on the
- 02:35
right kind of like congress When the variables air separated
- 02:38
like this something cool happens It just takes a bit
- 02:40
of factoring we've got why equals the twenty three months
- 02:44
eight c and accident times quantity There five c plus
- 02:47
too Now that five c plus two is being multiplied
- 02:50
by x so that must be the slope But wait
- 02:53
why needs to be isolated So you get why looking
- 02:56
like this it's that five peoples to over three months
- 02:59
Eight c all times x Well slope is negative in 00:03:02.523 --> [endTime] this equation as why intercept of zero
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