Answer to Question #193171 in Linear Algebra for samkelisiwet

Question

which of the following is a linear equation in x;y and z?

1. x-e^2y=3z, where e=2.71828....

2. 2πIn(e 1/z)-2y+z=In(3)-x

3. √y^-2 +4y-2z=7x

4. y+4y-2z=7x^3

Answer 1

The equation $x-e^2 y=3z$ is a linear equation in x, y and z because-

      

   Since, $x-e^2y-3z=0$

here, $a=1,b=-e^2,c=-3$

      Here $a\neq b\neq c\neq 0$

 

   SO It is a linear equation in x, y and z.