how about statisticians and fanatics of the
mathematics welcome to this channel that
It's called math with juan and now
I myself am going to try to solve a system
of equations two equations with two
unknowns using the graphical method
graphical method we have to draw and
this is our little system x less
3 and equal to minus 1 and 2 x plus and equal to
5 this is our little system of
equations 2 x 2 and we have to draw it
we have to represent this system
of equations are really two lines
straight lines that we can draw in the plane
Cartesian and when we draw them
we'll see that maybe the two lines will be
cut at a point that point is
precisely the solution that we are
looking
All right, let's draw the first one.
first performance
the first performance we are going to draw the
I'm going to say this is the first
this action the second equation comes
we're going to draw the first performance and
to draw the first performance
I simply have to extract from it
two points we don't need three or four
nor five no no no no
Just two dots, guys. Look.
I am going to make for example that the i is 0 and
as well as making the i to be zero
how much the X is worth then if you encourage her of
zero the x is worth minus 1 - 1 and now
I cleverly
I'm going to give an interesting value I'm going to give
a value an interesting value at x and y
I'll see how much the i is worth for this value.
interesting of the x sometimes stops
think look I'm going to make the x worth 2
for convenience if the x is worth 2 this 2
Passes by here as a -2 and I'll have here
minus 3 and here minus 3 good if the x
okay 2 you can easily see you can
check what it was there is going to be worth it is going to be
value 1
and I'm going to leave the plan I'm going to draw the
Cartesian plane I'm going to leave it here and
I'm gonna draw the notches.
1 2 3 I don't know how many we'll need of
impact 3 at the moment 1 2 3 1 2 3 123 esto
is the axis of the xl that of the ies this
It's already flying. I'm going with the second one.
equation and I do the same I do the same x
xi and I'm going to see see I'm going to do that x
worth 0 then if x is worth 0 and is worth 5 and
Now boys and girls, I need courage.
clever for her and make this
is easy to solve and the number that
appear here because he is small or
integer
let's see how much the and for
that the x is given us a beautiful value
Let me think because I no longer have would be very
well for example that the i was worth for
case study
valiera
three have three if the law goes from three
this would happen girl to you as less
three and I'd have here a two and then if
the animal of three the x would be worth
just a fantastic fantastic one the
boys
I'm going to take this data to this plane to
this Cartesian plane here I have the
point minus 10 here's point 21
Here I have the point 0 and 5
point 1 and 3 very well then let's draw by
example in color green boys in color
green is this line this straight line
point minus 10 point minus 10 on
the less one is here and the 0 is here
for this would be our first point
the point for equation 1 and point 2
1 point 2 1 then you guys would be here
and girls point 21 then come to one of
these two points prolonged and would have here
our first our first straight and
would be the one corresponding to the straight line x
minus 3 and equal to minus 1
Let's go with our let's go with our let's go with our
second
in line in our second equation
This is gonna be the blue color.
item 05.05 we need more notches
friends 123 is all problem up
1 2 3 4 5 and point 0 5 would be here
here would be point 0 5 and point 13
would be here let's see point 13
here would be point 1 and 3 then 1 2
3
Here we go we're going to unite it's already good
good we have to
unite these two dots we're going to see what
it happens if we join these two dots if
we unite these two beloved points we are going to
to have the following uniting
And look at you what happens to us what happens to us.
next we happen that these two lines
are going to cut themselves at this point and what
points this that points this friends then
this point is
is point 2 and on the xi axis is the
point 1 so this would be our
solution would be then 21 boys girls the
solution would be our point 21
solution solution solution solution good solution then
this is the method this is the method
graph or graph
and there are even other methods by which
we can solve this for other methods
and other equations please follow
video let's go we'll see you soon
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