Answer to Question #193208 in Linear Algebra for TUKER

Question

Which of the following is a linear equation in x; y and z? 1. x 2 − e 2y = 3z, where e = 2.71828 .... 2. 2π ln(e z ) − 2y + z = ln(3) − x. 3. p y −1 + 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.