x+y+z=1

x+y-z=1

x+y=1

asked by guest
on Oct 05, 2024 at 10:35 am



You asked:

Solve the system of equations:\[\begin{aligned}x + y + z &= 1\\x + y - z &= 1\\x + y &= 1\end{aligned}\]

MathBot Answer:

The system of equations has infinitely many solutions.

$$\begin{aligned}x &= 1 - y\\z &= 0\end{aligned}$$

\(y\) is a free variable.