Determine the solution of the simultaneous equations \(x + 3y - z = 5\); \(x - 2y + z = -2\); \(-5x - 5y + z = -11\)
Answer:
Let us name the equations.
\(x + 3y - z = 5\) ---- (\(1\))
\(x - 2y + z = -2\) ---- (\(2\))
\(-5x - 5y + z = -11\) ---- (\(3\))
Solving equations (\(1\)) and (\(2\)), we have:
Solving equations (\(2\)) and (\(3\)), we have:
Solving equations (\(4\)) and (\(5\)), we arrive at the value \(=\) .
Therefore, the system has .