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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?
- 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
- 00:02
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
Full Transcript
- 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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