Question

If 3x − 4y + 2z = 0 and 4x − 2y − z = 0, find x : z : y.

Answer 1

solution: 3x-4y+2z=0 ---(i) & 4x -2y - z=0 ---(ii)

Multiplying (ii) by 2, 8x - 4y -2z =0 ---(iii)

Adding (i) & (iii), 11x=8y or x/y=8/11 ---(iv)

Subtracting (iii) from (i), 5x=4z or x/z= 4/5 ---(v)

From (iv) & (v), x: y: z = 8 : 11 :10

Answer 2

Answer:

8:11:10

Step-by-step explanation:

3x-4x+2z=0...,.....eqn1

4x-2y-z=0.............eqn2

from eqn 2

z=4x-2y

eqn 1 =→3x-4y+2(4x-2y)=0

=→11x=8y

x= (8/11)y

=→x:y=8:11

eqn2=→4x-2y-z=0

=→4(8/11y)-2y-z=0

=→(10/11)y=z

=→y:z=11:10

so the answer is x:y:z=8:11:10.