Question

What is the solution to this system of equations? x + y = 2 and y - z = -3 and x + y - z = 0

Answer 1

x = 3

y = -1

z = 2

Explanation:

if x+y = 2, and x+y-z = 0, then we can substitute 2 for x+y. this means 2-z=0, meaning z=2. if y-z=-3, then y-2=-3, and y=-1. x+y=2 which means x-1=2 so x=3. plug in the values to check your answer.