Question

Assignment - Solve the following linear equations with 3
variables using Adjoint method.
2x + 3y + 4z = 12
3x + 10y - 9z = 34
6x + 15y + 10z = 18​

Answer 1

Answer:

try yourself ( c ) part

mark me as brainlist

plssss

Answer 2

Given :  2x + 3y + 4z = 12

3x + 10y - 9z = 34

6x + 15y + 10z = 18​

To Find : Solve for x , y & z

Solution:

2x + 3y + 4z = 12

3x + 10y - 9z = 34

6x + 15y + 10z = 18​

$\left[\begin{array}{ccc}2&3&4\\3&10&-9\\6&15&10\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}12\\34\\18\end{array}\right]$

$A=\left[\begin{array}{ccc}2&3&4\\3&10&-9\\6&15&10\end{array}\right]$

| A | =   2 ( 10 x 10 - (-9)15) - 3 ( 3 x 10 - 6 (-9)) + 4 (3 x 15 - 6 x 10) )

= -142

$Adj A =\left[\begin{array}{ccc}145&-5&-67\\-42&-2&15\\-45&4&11\end{array}\right]$

A⁻¹ = adj A / | A|

$\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\dfrac{-1}{142} \left[\begin{array}{ccc}145&-5&-67\\-42&-2&15\\-45&4&11\end{array}\right]\left[\begin{array}{ccc}12\\34\\18\end{array}\right]$

$\left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\dfrac{-1}{142}\left[\begin{array}{ccc}194\\-604\\-70\end{array}\right]$

x = - 97/71

y = 302/ 71

z = 35/71

Learn More:

x+y+z=1,2x+2y+3z=6,x+4y+9z=3,solve the system of equations by ...

https://brainly.in/question/25808974

Ques: 3x+y+2z=3 , 2x-3y-z

https://brainly.in/question/2938169