00:01
Hello, welcome to this lesson.
00:02
In this lesson, we have the sum of two numbers that is 19 and their difference that is one.
00:08
So let us be the larger number and y the smaller number.
00:12
The first part will write the system of equation for the problem.
00:18
So here we're going to have x plus y does the sum of the numbers that's equals to 19.
00:27
And unless you're going to have the difference of the numbers x being the greater minus y being the smaller and this is equals you one all right so these are the you have the system of equation you're going to solve this graphically all right so let's have the b part so with this you're going to plot x and 1 all right now let's look at how we're going to solve it so let's first of all have x plus y equals to 19 now we pick points at the intersect so at x equals to zero we have y equals to 19 and also at y course zero would have x that equals equal to 19 so now we'll look at the point right the point are 19 and 19 0.
01:38
Then also let's look at the second.
01:41
This we have x minus y equals to 1.
01:46
So we are using the intercept at x equals 0.
01:51
We'll have y equals to negative 1.
01:54
That is negative y equals 1.
01:57
Now if you divide through by negative 1, we have y course 2.
02:01
Negative one then also at y equals zero what have y equal equal um would have x rather equals you one that is if you put zero here we have x minus zero to one so we have the point because they are straight lines we can join the points all right so that point we have 0 negative 1 and 1 0 so let's have so let's have the y on the x here before the first care we have 019 19 so we we have this as 18 and that would mean we have the 19 here so 19 is here and 019 would also have it here so we can join the two, right? that's the first line.
03:13
Now let's look at the second line...