Solve the following system of linear equation:

Question

x + z = 6

-3y + z = 7

2x + y + 3z = 15

Answer 1

You may solve with algebra, substitution and elimination.

Or use matrix algebra with row reductions to get

1 0 0 2

0 1 0 -1

0 0 1 4 where the last column gives the solution (x,y,z) = (2,-1,4)

x=2

y=-1

z= 4