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TSI Math: Finding the Intersection of Two Lines 11 Views


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Description:

Where do the lines 9x – 7y = 24 and 3x + y = -2 intersect?


Transcript

00:02

Okay sy mass members we've got another weird question for

00:05

you or to the lines Nine x minus seven y

00:08

equals twenty four and three x plus y equals negative

00:12

to intersect These two equations are like star crossed lovers

00:21

from verona leo and what's Her name their faded to

00:24

cross paths somewhere Our job is to play matchmaker or

00:29

you know swiping right or left actually or both And

00:32

figure out where that point in space is It's Easier

00:36

to make predictions when we have less uncertainty So let's

00:38

start by canceling one of the variables Cancel acts using

00:42

the addition method first multiply both sides of the second

00:46

equation by negative three Got negative nine Acts minus 3

00:50

y is 6 The point of this step was to

00:52

make the x coefficient negative nine Now we add this

00:57

equation to the first one and the two coefficients while

00:59

these cancel out huge simplification here right through sim five

01:03

both sides When yet negative seven on y minus three

01:06

Why is a negative ten Y which is thirty Well

01:10

divide both sides by negative ten and we get why

01:12

is negative three All right well now we know negative

01:15

three is the y co ordinates of the points where

01:17

the lines intersect We still need to find the x

01:20

coordinate But all we have to do now is plug

01:23

y equals Negative three into the equation called three x

01:26

plus y is negative to so if we just do

01:29

that we get what is that three Acts plus negative

01:32

3 is negative too then had three to both sides

01:35

Get rid of that thing of everything They're three acts

01:37

is ah into luxury is one Then we divide both

01:41

sides by three and we get x is a third

01:44

well putting the x and y coordinates together Then we

01:47

see that the lines cross pass at the point One

01:49

third negative three and well that's answer See so that's

01:53

it and good luck romeo Good luck finding her And 00:01:56.983 --> [endTime] if you don't well yeah there's always tinder Oh

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