Maniac wrote:i know how to solve equations like
5x-2y=2
3x+2y=14
But how the hell do you solve this?
v + 2w -x + 2y + z = 2
-v - 2w + x + 2y +3z = 6
2v + 4w -3x + 2y = 3
-3v -6w + 2x + 3z = 9
the question say "Solve v, w, x, y, and z so it satisfies the equations above. There are infinitely many solutions."
v + 2w -x + 2y + z = 2
-v - 2w + x + 2y +3z = 6
+
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
4y+4z=8
This tell you anything?
Do the same with the 3rd and 4th equation, use the first one get rid of some unknowns.
Notice you can multiply the first one with -2 and 3, and add it with equations 2 and 3.
In the end there will be 3 equations:
4y+4z=8
x-2y=-1
-x+6y+6z=15
Much more easy to solve than the first ones. I got y=-1(lazy to do the rest).
With x y z found use the original equations to get w and v.