00:01
The objective of this problem is to determine the intersection of the planes.
00:05
And they are given as 9x minus 4y plus 6 z is equal to minus 74 and 6x plus 4y plus 3 z is equal to minus 28.
00:21
First of all, understand that finding the intersection of these two planes are nothing but solving these two equations.
00:29
That is, we need to find the values of x, y, and z that will be satisfied by both of these equations.
00:39
To solve this, let's assume this equation is equation number one and this as equation number two.
00:45
So if we add equation number one and equation number two, we will get, the y components will get cancelled, and so we will get 15 times x plus 9 is it is equal to minus 1 or 2.
01:00
And from here, we can find the value of x.
01:04
It will be equal to minus 1 or 2, minus 9, z divided by 15.
01:10
So the value of x will be equal to minus 34 divided by 5 minus 3 divided by 5 times z.
01:21
It means that if we know the value of z, we can find the value of x...