Question Type 3: Checking whether the system of linear equations has no solution, one solution or infinite number of solutions Bootcamps

Determine whether the system of equations $x - y = 1$ and $2x - 2y = 3$ has no solution, one solution, or infinitely many solutions.

Determine whether the system of equations $x + y = 2$ and $2x + 2y = 5$ has no solution, one solution, or infinitely many solutions.

Determine whether the system of equations $x - y = 1$ and $2x - 2y = 2$ has no solution, one solution, or infinitely many solutions.

Determine whether the system of equations $x + y = 2$ and $2x + 2y = 4$ has no solution, one solution, or infinitely many solutions.

Determine whether the system of equations $x + 2y + 3z = 1$, $2x + 4y + 6z = 2$, and $3x + 6y + 9z = 3$ has no solution, one solution, or infinitely many solutions.

Determine whether the system of equations $x + 2y = 5$ and $2x - y = 1$ has no solution, one solution, or infinitely many solutions.

Determine whether the system of equations $3x + y - z = 4$ and $6x + 2y - 2z = 8$ has no solution, one solution, or infinitely many solutions.

Determine whether the system of equations $2x - y + z = 5$ and $4x - 2y + 2z = 11$ has no solution, one solution, or infinitely many solutions.

Determine whether the system of equations $x + y = 1$ and $x + y + z = 3$ has no solution, one solution, or infinitely many solutions.

Determine whether the system of equations $3x + y - z = 4$ and $6x + 2y - 2z = 9$ has no solution, one solution, or infinitely many solutions.

Determine whether the system of equations $x + y + z = 3$, $2x + 2y + 2z = 6$, and $x - y + z = 1$ has no solution, one solution, or infinitely many solutions.

Determine whether the system of equations $x + y + z = 6$, $2x - y + 3z = 14$, and $3x + y + 4z = 20$ has no solution, one solution, or infinitely many solutions.