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Help please!!!!!!!!!!!!!

Help please!!!!!!!!!!!!!-example-1
User Extreme
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1 Answer

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Combine the 2nd and 3rd equations. 3x will disappear:

2y + 5z = 7 This is true for any y and z, and is independent of x.

7-5z
Solving for y, 2y = 7 - 5z, so that y = ---------
2

We have to eliminate x again by using the 1st and 2nd equations:

-2x - 6y - 2z = -2. We want the coeff. of x in the first eqn to be -3.

Therefore, mult. all terms of -2x - 6y - 2z = -2 by 3/2:

(3/2)(-2x - 6y - 2z = -2) = -3x -9y -3z =-3

Now add this version of the 1st row to the 2nd row:

-3x -9y -3z =-3
3x +2y +5z = 7
----------------------
-7y + 2z = 4
7 - 5z
We found earlier that y = ----------, and can elim. y by subst. this fraction into
2

-7y + 2z = 4. Then -7y + 2z = 4 becomes -7( (7-5z)/2 ) + 2Z = 4.

Elim. the fraction by mult. all terms by 2:

-7(7-5z) + 4z = 8 which becomes -49 + 35z + 4z = 8

so that 39z = 57, and so z = 57/39.

Subst. this back into -7y + 2z = 4 to calculate y. Make a final subst. to calculate x.

Given the choice, I would solve this system using matrices.

Turns out that the solution, using matrices, does not exist.


User Solivette
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