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Linear Equations, Inequalities, and Systems Videos 12 videos
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TSI Math: Solving a "Murder" of Equations 11 Views
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Description:
What is the value of x in the following system of equations?
- TSI Math / Elementary Algebra and Functions
- Test Prep / TSI
- Elementary Algebra and Functions / Linear Equations, Inequalities, and Systems
- TSI Mathematics / Elementary Algebra and Functions
- TSI / TSI Math
- Elementary Algebra and Functions / Linear Equations, Inequalities, and Systems
- TSI / TSI Mathematics
- Test Prep / TSI
Transcript
- 00:01
All right sy mash members here we go Next question
- 00:05
coming right at you What is the value of acts
- 00:08
in the following system of equations Okay well we don't
- 00:16
really like the term system of equations to begin with
- 00:19
How about a gaggle of equations instead Or maybe a
Full Transcript
- 00:22
swarm If only there were geese or these In any
- 00:25
case all the equations go together The values of x
- 00:28
y ens e are the same in each We can
- 00:31
only solve an equation when it contains a single variable
- 00:35
So we have to start by finding z kind of
- 00:37
like nemo and then working our way up to solve
- 00:40
for acts So let's get going Divide both sides of
- 00:43
the bottom equation Negative for z equals negative twenty by
- 00:47
negative four to find that z equals what is that
- 00:50
Five Alright Well armed with the knowledge that zia's five
- 00:54
we can solve for why plugs equals five into the
- 00:57
middle equation right there Three white minus in the business
- 01:00
of eight And then we're going to simplify the left
- 01:02
side there What is that Three y minus fifty is
- 01:06
negative eight and we'll add fifty to both sides and
- 01:09
we get three Why is forty two Well bible side
- 01:11
by three And why is fourteen All right Almost there
- 01:15
Final steps plug in the z Equals five in the
- 01:17
y equals fourteen in the top equation there and we
- 01:20
get five x minus y plus seventy is negative Nine
- 01:23
solve for x and that'd be five Acts minus 14
- 01:26
plus the 30 five There is negative nine combined like
- 01:30
terms and subtract twenty one from both sides There we
- 01:34
go we get five x equals negative nine months one
- 01:36
negative thirty Okay now we just divide both sides by
- 01:39
five And guess what Acts is negative 6 wu The
- 01:43
answer is eight mystery solved by your counting crows here 00:01:47.99 --> [endTime] what's a bunch of crows called yes murder What
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