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Description:
Algebra I: Drill 6, Problem 1. Which of the following is equivalent to the equation?
Transcript
- 00:00
Thank you We sneak shmoop b which of the following
- 00:05
is equivalent to the equation Why equals a minus x
- 00:09
over x minus b And here the potential answers causing
- 00:15
All right let's go down The list is why equals
- 00:18
quantity a minus x over x minus be the same
Full Transcript
- 00:22
thing as a well let's start with the original equation
- 00:26
What happens if we multiply both sides by x minus
- 00:29
b while the left side becomes quantity x minus b
- 00:33
times Why And the right becomes a minus x sound
- 00:36
familiar that's because it's the same thing as option a
- 00:39
So apparently is our answer But wait we have to
- 00:42
be careful because option d says all of the above
- 00:45
so let's just do a quick check on another option
- 00:48
to see if he might be our golden child Is
- 00:50
there a way to get from option beaten back to
- 00:52
the original equation How about multiplying the right side by
- 00:56
negative one over negative one which equals negative ax plus
- 01:01
a over negative b plus x which equals quantity a
- 01:03
minus X over quantity x minus b so that's the
- 01:06
same thing as the original equation Looks like a isn't
- 01:09
our answer After all let's do c just to be
- 01:12
one hundred percent positive that he is our answer This
- 01:14
equation is just asking to be cross multiplied a minus
- 01:18
X equals quantity x minus b times Why that sounds
- 01:21
exactly like option a and since we said that option
- 01:24
a is equal to the original transitive lee speaking option
- 01:28
c equals the original Our answer is d all of 00:01:31.339 --> [endTime] the above Over No
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