If `x:y=2:3` and `y:z=4:7` then find `x:z`

If X: Y = 2:3 and Y:Z = 3:4 find X:Z .

If x = 2, y = 3 and z = -1, find the values of : (2x-3y+4z)/(3x-z)

Find the values of x, y and z from the following equations:(i) [[4, 3],[x,5]]=[[y, z],[1, 5]] (ii) [[x+y,3],[ 5+z, x y]]=[[6, 3],[ 5 ,8]] (iii) [[x+y+z],[ x+z],[ y+z]]=[[9],[ 5],[ 7]]

find the values of x,y and zfrom the following equations : (i) [{:(4,3),(x,5):}]=[{:(y,z),(1,5):}] (ii) [{:(x+y,2),(5+z,xy):}]=[{:(6,2),(5,8):}] (iii) [{:(x+y+z),(x+z),(y+z):}]=[{:(9),(5),(7):}]

If x=1,\ y=-2\ a n d\ z=3, find the values of each of the following algebraic expressions: (i) x^3+y^3+z^3-3x y z (ii) 3x y^4-15 x^2y+4z

If [(x,3x-y),(2x+z,3y-w)]=[(3,2),(4,7)], then find x+y+z+w.

If x^(3)+y^(3)+z^(3)=3xyz and x+y+z=0, find the value of ((x+y)^(2))/(xy)=((y+z)^(2))/(yz) +((z+x)^(2))/(zx)

If x+y+z=1,x y+y z+z x=-1 and x y z=-1, find the value of x^3+y^3+z^3dot

If x^(3) + y^(3) + z^(3) = 3xyz and x + y + z = 0 , find the value of : ((x+y)^(2))/(xy) + ((y+z)^(2))/(yz) + ((z+x)^(2))/(zx)