If two parts x equals three parts y equals four parts Z is not equal to 0, find x plus y minus Z parts x plus y plus Z

If two parts x equals three parts y equals four parts Z is not equal to 0, find x plus y minus Z parts x plus y plus Z

Let 2 / x = 3 / y = 4 / z = M
X+Y+Z=2m+3m+4m=9m
X+Y-Z=2m+3m-4m=m
One to nine

Given: (x + y) / 5 = (y + Z) / 6 = (x + Z) / 7, and X * y * Z is not equal to zero, find the value of X: Y: Z

Let (x + y) / 5 = (y + Z) / 6 = (x + Z) / 7 = K
x+y=5k
y+z=6k
x+z=7k
The simultaneous solution is x = 3k, y = 2K, z = 4K
xyz≠0
∴x:y:z=3:2:4

Given that 5% x + y = 6% y + Z = 7% x + Z, and X, y, Z are not equal to 0, find the value of X: Y: Z

Let (x + y) / 5 = (y + Z) / 6 = (x + Z) / 7 = K
x+y=5k①
y+z=6k②
z+x=7k③
The above three formulas are added together
2(x+y+z)=18k
x+y+z=9k④
④ (2) x = 3K
④ (3) y = 2K
④ - 1 gives z = 4K
So x: Y: z = 3:2:4