Question

2x + y - 5z = 0 and 3x - 2y - 4z = 0. Find x y z​

Answer 1

Answer:

x:y:z=2:1:1

Step-by-step explanation:multiply the first equation by 2.  Eliminate the y, you should get:

7x -14z = 0

So, 7x = 14z, then x = 2z.

This means that x : z = 2 : 1.

Next, multiply the first equation by 3, then the second by 2.  Eliminate the x.  You should get:

7y-7z = 0

Thus, 7y = 7z, then y  = z

so.. y : z = 1 : 1

x : z = 2 : 1, but y = z, so y and z must have the same portion.

Thus, x : y : z = 2 : 1 : 1