Question

Sistema de ecuaciones con 3 variables.

Answer 1

ecuación ....1

$\frac{x}{6} + \frac{y}{3} - \frac{z}{4} = 1$

$\frac{2x + 4y - 3z}{12} = 1$

2x + 4y - 3z = 12....ec 1

ecuación .....2
$\frac{x}{3} + \frac{y}{4} + \frac{z}{2} = - 3$

$\frac{4x + 3y + 6z}{12} = - 3$

4x + 3y + 6z = -36........ec 2

ecuación ....3

$\frac{x}{2} + \frac{y}{2} - \frac{z}{ 3} = 7$

$\frac{3x + 3y - 2z}{6} = 7$

3x + 3y - 2z = 42......ec3

operación :

2x + 4y - 3z = 12....ec 1
4x + 3y + 6z = -36...ec 2
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(2) 2x+4y-3z =12
4x + 3y + 6z = -36
--------------------------
4x + 8y - 6z = 12
4x + 3y + 6y = -36
--------------------------
8x + 11y = -24 ....ec4

4x + 3y + 6z = -36...ec 2
3x + 3y - 2z = 42......ec3
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4x + 3y + 6z = -36
(3)3x + 3y - 2z = 42
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4x + 3y + 6z = -36
9x + 9y - 6z = 126
---------------------------
13x + 12y = 90.....ec4

hallamos "x"
8x + 11y = -24 ....ec4
13x + 12y = 90.....ec4
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(12) 8x+11y = -24
(-11) 13x + 12y = 90
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96x + 132y = -288
143x - 132y =- 990
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239x = - 1278
x = -1278/239
x = 5,34