5.If x:y=7:5 and y:z=4:4 then x: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):}]

Write the values of x,y and z from the following equation: [[x+y+z],[ x+z],[ y+z]]=[[9], [5], [7]]

If x, y and z are integers, is x even? (1) 10^(x)=(4^(y))(5^(z)) (2) 3^(x+5)=27^(y+1)

Verify that x xx(y-z)=x xxy-x xxz , if (i) x=(4)/(5), y=-(7)/(4) "and" z=3 (ii) x=(3)/(4), y=(8)/(9) "and" z=-5

A plane which passes through the point (3,2,0) nd the line (x-4)/1=(y-7)/5=(z-4)/4 is (A) x-y+z=1 (B) x+y+z=5 (C) x+2y-z=1 (D) 2x-y+z=5

If x, y , z are in A.P., then the value of the det (A) is , where A = [(4,5,6,x),(5,6,7,y),(6,7,8,z),(x,y,z,0)]

By using determinants, solve the following system of equations: x+y+z=1 , x+2y+3z=4 , x+3y+5z=7 .

Show that the planes 2x+6y-6z=7\ a n d\ 3x+4y+5z=8 are at right angles.