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Elementary Algebra and Functions Videos 36 videos

TSI Math: Creating and Solving a System of Equations from a Word Problem
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4 large pitchers and 1 small pitcher hold a total of 208 ounces. 2 large pitchers and 2 small pitchers hold a total of 128 ounces. How many ounces...

TSI Math: Finding the Cost of Pears through Division and Multiplication
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If 9 pears cost $2.52, then how much do 4 pears cost?

TSI Math: How Many Baseball Games Did a Team Win?
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Last season, the One Hit Wonders played 67 baseball games. If they won 11 more games than they lost, how many games did they win?

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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?


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

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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