Suppose I have the following equations:
x + 2y + 3z = 20
2x + 5y + 9z = 100
5x + 7y + 8z = 200
How do I solve these equations for x
, y
and z
? I would like to solve these equations, if possible, using R or any other computer tools.
This should work
A <- matrix(data=c(1, 2, 3, 2, 5, 9, 5, 7, 8), nrow=3, ncol=3, byrow=TRUE)
b <- matrix(data=c(20, 100, 200), nrow=3, ncol=1, byrow=FALSE)
round(solve(A, b), 3)
[,1]
[1,] 320
[2,] -360
[3,] 140