"\\begin{cases}\n x+2y+3z=a \\\\\n x+3y+8z=b\\\\\nx+2y+2z=c\n\\end{cases}"
"\\begin{cases}\n x+2y+3z=a \\\\\n x+3y+8z=b\\\\\n-z=c-a\n\\end{cases}"
"\\begin{cases}\nx+2y+3z=a\\\\\ny+5z=b-a\\\\\nz=a-c\n\\end{cases}"
"\\begin{cases}\nx+2y+3z=a\\\\\ny+5(a-c)=b-a\\\\\nz=a-c\n\\end{cases}"
"\\begin{cases}\nx+2y+3z=a\\\\\ny=b-6a+5c\\\\\nz=a-c\n\n\\end{cases}"
"\\begin{cases}\nx+2(b-6a+5c)+3(a-c)=a\\\\\ny=b-6a+5c\\\\\nz=a-c\n\\end{cases}"
"\\begin{cases}\nx=10a-2b-7c\\\\\ny=b-6a+5c\\\\\nz=a-c\n\\end{cases}"
Answer:
"x=10a-2b-7c"
"y=b-6a+5c"
"z=a-c"
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