SLE C33

x + y - z = -1

x - y - z = -1

z = 2

a <- matrix(c(1, 1, 0, 1, -1, 0, -1, -1, 1), nrow=3) 
a
##      [,1] [,2] [,3]
## [1,]    1    1   -1
## [2,]    1   -1   -1
## [3,]    0    0    1
b <- matrix(c(-1, -1, 2), nrow=3)
b
##      [,1]
## [1,]   -1
## [2,]   -1
## [3,]    2
solve(a,b)
##      [,1]
## [1,]    1
## [2,]    0
## [3,]    2

Therefore, x = 1, y = 0, z = 2.