posted by Anonymous .
solve for w, x, y, z
Eliminate variables one at a time, or use Kramer's method of determinants.
Here is how to get rid of x. Add the first two equations.
3w + 3z = 9 or
w + z = 3
Multiply the third equation by 2 and the fourth equation by 3, and add.
4w + 6x + 4y - 2z = -4
9w - 6x - 3y - 9z = -6
13w -y - 11z = -10
Continue in that manner until you are left with the value of one of the variables.