What is the solution of the system of equations?
-3x-4y-3z=-7
2x-6y+2z=3
5x-2y+5z=9

Question

What is the solution of the system of equations?
-3x-4y-3z=-7
2x-6y+2z=3
5x-2y+5z=9

anonymous · Answer

http://www.cliffsnotes.com/study_guide/Linear-Equations-Solutions-Using-Elimination-with-Three-Variables.topicArticleId-257309,articleId-257125.html

anonymous · Answer

Multiply our first equation $-3x-4y-3z=-7$ by $-1$ to yield $3x+4y+3z=7$. Combine with our second equation $2x-6y+2z=2$ to yield $5x-2y+5z=9$. Notice something interesting? That's identical to our third equation, which means the system has infinitely many solutions.

anonymous · Answer

i got one solution

anonymous · Answer

i think you copied one equation wrong @oldrin.bataku, the second eqn is =3, not =2

anonymous · Answer

i get x=9/26, y=-801/338, z=-63/338

anonymous · Answer

@ktklown  good catch. If you combine with $2x-6y+2z=3$ you actually end up with $5x-2y+5z=10$. Since we know that $5x-2y+5z=5x-2y+5z$, we may substitute our equations to yield $9=10$ -- which is clearly false. There are no solutions.