Question

In: Advanced Math

Use Kramer’s Rule to solve for x, y, and z from the following equations: 4x-7y+2z=4, 3x-11y+5z=3,...

Use Kramer’s Rule to solve for x, y, and z from the following equations:

4x-7y+2z=4,

3x-11y+5z=3,

-9x+4y+3z=1.

(Hint: Use Determinants)

Expert Solution

Crammers Rule:

, , ,

1) Unique solution exists.

2) Infinite solutions exists.

3) No solution exists.

Solution is : , ,

Using this method now we will find the solution of the given problem.

As

4x-7y+2z=4,

3x-11y+5z=3,

-9x+4y+3z=1

Now we will calculate D, D₁, D₂ and D₃

As Given problem has a unique solution

, ,

Thus final Solution :

Colby Messinger answered 2 years ago

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solve by determinants a.x+y+z=0 3x-y+2z=-1 2x+3y+3z=-5 b. x+2z=1 2x-3y=3 y+z=1 c. x+y+z=10 3x-y=0 3y-2z=-3 d. -8x+5z=-19 -7x+5y=4 -2y+3z=3 e. -x+2y+z-5=0 3x-y-z+7=0 -2x+4y+2z-10=0 f. 1/x+1/y+1/z=12 4/x-3/y=0 2/y-1/z=3

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