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Summation of Determinant

if x+4y+16z=4...

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if x+4y+16z=48 and xy+4yz+2xz=24 then find the value of x+y+z

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Q. The number of solutions

(x, y, z)

to the system of equations

x + 2 y + 4 z = 9

4 y z + 2 x z + x y = 13

x y z = 3

such that at least two of

x, y, z

are integers is

Q. What should be subtracted from

3 x z - 4 y + 5 x y + 20

- x - y + 6 x y + 5 x z + 20

?

Q. If x+y=18, y+z=24 and z+x=22, then find the value of

(x^{2} + y^{2} + z^{2} + 2 x y + 2 y z + 2 z x)

.

\frac{x (y + z - x)}{log x} = \frac{y (z + x - y)}{log y} = \frac{z (x + y - z)}{log z}

x^{y} y^{x} + z^{y} y^{z} - 2 x^{z} z^{x}

x = {log}_{24} 12,

y = {log}_{36} 24

z = {log}_{48} 36,

(1 + x y z)

k

y z .

k

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