title: Which algorithm can be used to solve this system of equations?
body: <p><code>ax + by + cz + dw ≡ 1 (mod p)</code></p>
  
  <p><code>ex + fy + gz + hw ≡ 1 (mod p)</code></p>
  
  <p>(<code>p</code> is prime, <code>0 &lt;= a,b,c,d,e,f,g,h &lt; p</code>, <code>0 &lt;= x,y,z,w &lt; p</code>, all varients are integer)</p>
  
  <p>I only know the values of <code>a, b, c, d, e, f, g, h</code>, and I have to get <code>x, y, z, w</code>.</p>
  
  <p>How can I solve this using computer? I have no idea :(</p>