Solve the following linear system using Gaussian elimination.
2y + z = 4
x+ y +z = 6
2x + y + z = 7
Solve the following linear system for x using Cramer's rule.
4x - y + z = -5
2x + 2y + 3z = 10
5x - 2y + 6z = 1
Solving linear systems of equations using Gaussian elimination and Cramer's rule is investigated. The solution is detailed and well presented.