Question

it xz
u=X+2y+z,v=x-2y+3z and w= 2xy- xz+4yz- 2z^2, show that they are not independent find the
relation between u, vand w​

Answer 1

Answer:

Step-by-step explanation:

2y2x - 5xy) + (5y2x - 9x²y + 3xy)

(ii) (3x2 + 2xy - 1) + (x2 - 5xy + 6) + (xy + 1)

2. Subtract the following:

(i) (6xy + 7) - (3xy + 5)

(ii) (2x2 + 3xy - y2) - (3x2 - xy - 3y?

Answer 2

Answer:

From U = 3x + 2y - z

        => z = 3x + 2y - U.

Substitute in other equation

V = x - 2y + z = x - 2y + 3x + 2y - U = 4x - U

W = x (x + 2y - z) = x (x + 2y - 3x -2y + U) = x (-2x + U)

From V = 4x - U

        => x = (U + V)/4

Substitute  into the third equation:

W = (U + V)/4 *(-U/2 - V/2 + U)

W = (U + V)/4 * (U - V)/2

W = (U2 - V2)/8

This is the relationship between U, V and W

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