Solve equation Ax = y, where A and y are known

[xWaffle]

Homework Statement

Solve for x: Ax = y.

A = {{2 0 1},
{1 1 4},
{2 2 1}}

y = {{1},
{1},
{1}}

Homework Equations

Basic Matrix operations
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I have a vague idea how I'm supposed to do this, but I have no attempt yet.. eigenvalues and eigenvectors come to mind..in some way

 

[LCKurtz]

Three possibilities come to mind:
Row reduction
Multiply by A inverse
Cramer's rule (determinants)

Try what you know.