Use the row operations to solve the system.

Question

x - y = 1

y - z = 0

x + z = 1

A. The solution set is { _, _, _}

(type an exact answer in simplified form. If there are infinitely many solutions, type an expression involving z for each coordinate where z represents all real numbers)

Answer 1

x - y = 1. Equation A

y - z = 0 Equation B

x + z = 1 Equation C

Take A and add B to eliminate y to get

x-z=1 Equation D

then take Equation D and add add C to get

2x=2 and simplify to get x=1. Then plug it into A and C to get y=0 and z=0. So the solution is (1,0,0).