00:01
In this question, we are asked to determine which of the given equations are linear in x, y, and z.
00:08
And recall a linear that a linear equation is an equation which contains only the first powers of x, y, and z, and some numbers, right? some constants.
00:22
That's all.
00:24
And the first equation is linear because all the powers of x, y, and z are, all of x, y, and z are in the first power, right? x to the first power, y to the first power, z to the first power.
00:41
Same is true for the second equation.
00:46
X, y, and z are all to the first power.
00:50
In the third equation, it's non -linear.
00:58
And the reason is, because we can rewrite it as one half multiplied by x to the negative first power plus 3y minus z equals 0...