X + y + z = 3x - y = 3 - x + y + z = - 1quisiera saber los resultadossolo el valor de x, y, z para saber si lo he resuelto biengracias por ayudar?

<img src="https://tex.z-dn.net/?f=Hola~~%20Mauri%20%5C%5C%20%20%5C%5C%20" />

<img src="https://tex.z-dn.net/?f=Sean~las~ecuaciones%3A%20%5C%5C%20%20%5C%5C%20%5Cbegin%7Bcases%7Dx%2By%2Bz%3D3~~----%5C%20%5Ctextgreater%20%5C%20%28I%29%20%5C%5C%20~~~~~x-y%3D3~~~----%5C%20%5Ctextgreater%20%5C%20%28II%29%20%5C%5C%20-x%2By%2Bz%3D-1~~---%5C%20%5Ctextgreater%20%5C%20~%28III%29%5Cend%7Bcases%7D%20%5C%5C%20%20%5C%5C%20Podemos~multiplicar~por~%28-1%29~al~%28III%29~vea%3A%20%5C%5C%20%20%5C%5C%20-1%5B-x%2By%2Bz%3D-1%5D%20%5C%5C%20%20%5C%5C%20x-y-z%3D1~~--%5C%20%5Ctextgreater%20%5C%20%20observamos~de~la~ecuaci%5Cacute%7Bo%7Dn~%28II%29~que%3A%20%5C%5C%20%20%5C%5C%20%5Cunderbrace%7Bx-y%7D_%7B3%7D-z%3D1%20%5C%5C%20%20%5C%5C%203-z%3D1" />

<img src="https://tex.z-dn.net/?f=Despejando~%28z%29~tenemos%3A%20%5C%5C%20%20%5C%5C%20-z%3D1-3%20%5C%5C%20%20%5C%5C%20-z%3D-2~~---%5C%20%5Ctextgreater%20%5C%20multiplicamos~por~%28-1%29~queda%3A%20%5C%5C%20%20%5C%5C%20%5Cboxed%7B%5Cboxed%7Bz%3D2%7D%7D----%5C%20%5Ctextgreater%20%5C%20valor~de~%28z%29" />

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<img src="https://tex.z-dn.net/?f=Ahora~reemplazamos~el~valor~de~%28z%29~en~la~%28I%29%20%5C%5C%20%20%5C%5C%20x%2By%2Bz%3D3~~--%5C%20%5Ctextgreater%20%5C%20tenemos%5B%20z%3D2%5D%20%5C%5C%20%20%5C%5C%20x%2By%2B2%3D3%20%5C%5C%20%20%5C%5C%20x%2By%3D3-2%20%5C%5C%20%20%5C%5C%20x%2By%3D1~~---%5C%20%5Ctextgreater%20%5C%20%28IV%29%20%5C%5C%20Ahora~sumaremos~ecuaci%5Cacute%7Bo%7Dn~%28II%29~y~%28IV%29~vea%3A%20%5C%5C%20%20%5C%5C%20" />

<img src="https://tex.z-dn.net/?f=%20%20%20~.%20~~~~~~~~~~%2B%5Cbegin%7Bcases%7Dx-%5Cnot%20y%3D3%20%5C%5C%20x%2B%5Cnot%20y%3D1%5Cend%7Bcases%7D%20%5C%5C%20~~~~~~~~~~~~~~~~------%20%5C%5C%20~~~~~~~~~~~~~~~~~~~~~~2x%3D4%20%20%5C%5C%20%5C%5C%20~~~~~~~~~~~~~~~~~~~~~%5Cboxed%7B%5Cboxed%7Bx%3D2%7D%7D---%5C%20%5Ctextgreater%20%5C%20valor~de~%28x%29" />

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<img src="https://tex.z-dn.net/?f=Solo~nos~falta%20~calcular~el~valor~de~%28y%29~vamos~reemplazar%20%5C%5C%20el~valor~de~%28x%29~en~la~ecuaci%5Cacute%7Bo%7Dn~%28II%29~as%5Cacute%7Bi%7D%3A%20%5C%5C%20%20%5C%5C%20x-y%3D3~~---%5C%20%5Ctextgreater%20%5C%20tenemos~el~valor~%5Bx%3D2%5D%20%5C%5C%20%20%5C%5C%202-y%3D3%20%5C%5C%20%20%5C%5C%20-y%3D3-2%20%5C%5C%20%20%5C%5C%20-y%3D1%20%5C%5C%20%20%5C%5C%20%5Cboxed%7B%5Cboxed%7By%3D-1%7D%7D---%5C%20%5Ctextgreater%20%5C%20valor~de~%28y%29" />

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