Question

This is the problem I’m having trouble with. It’s the first time I’ve done linear equations in four variables and I got the answers x= -86 y = 237 z = 106 and w= -35 these seem like really weird answers to me. Could you tell me if these are correct and if not explain the answer?

Answer 1

x+y-z+w = 10--------(1)

x+3y-4z+5w=26------(2)

x+4y-7z+7w = 37-------(3)

x+2y-3z+6w = 22--------(4)

Subtract equation (1) from (2)

x+3y-4z+5w - (x+y-z+w) = 26 - 10

2y + -3z - 4w = 16-----------------------------(5)

Subtract equation (1) from (3)