find any solution of this three equations 2 x + 6 y &#x2212;<!-- − --> z =

brendijadq

brendijadq

Answered question

2022-05-20

find any solution of this three equations
2 x + 6 y z = 10
3 x + 2 y + 2 z = 1
5 x + 4 y + 3 z = 4

Answer & Explanation

concludirgt

concludirgt

Beginner2022-05-21Added 11 answers

Note that
det ( 2 6 1 3 2 2 5 4 3 ) = 0
So there is either no so solution or an infinte amount of solutions.
Now substract the second line from the first line three times, and substract it from the third line twice, tends to
7 x 7 z = 7 x z = 2
Can you continue from this point?
Alessandra Clarke

Alessandra Clarke

Beginner2022-05-22Added 5 answers

If your three equations have solutions, they have to satisfy the followings:
( 2 ) + 2 × ( 1 ) will give you
x + 2 y = 3.
( 3 ) + 3 × ( 1 ) will give you
x + 2 y = 34 / 11.
However, these does not have any solution (these represent two parallel lines).
So, there is no solution for the given three equations.

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