ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


TSI Mathematics Videos 144 videos

TSI Math: Creating and Solving a System of Equations from a Word Problem
20 Views

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
6 Views

If 9 pears cost $2.52, then how much do 4 pears cost?

TSI Math: How Many Baseball Games Did a Team Win?
11 Views

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?

See All

TSI Math: Solving a "Murder" of Equations 14 Views


Share It!


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

Related Videos

Revising a Letter by Adding Transitions
155 Views

Which is the best way to revise and combine sentences 1 and 2?

TSI Writing: Adding a New Sentence to Improve a Letter's Structure
34 Views

Where would the following sentence best be placed?

TSI Writing: Choosing the Best Introductory Transition
22 Views

Which of the following is best to insert at the beginning of sentence 8?

TSI Writing: Shifting a Letter's Structure to Improve the Organzational Flow
15 Views

Which is the best location for sentence 9?

TSI Writing: Choosing the Most Effective Sentence Structure
17 Views

Which of the following sentences is best to insert between sentences 11 and 12?