Put the equations into a matrix, get the matrix into row echelon or reduced row echelon form by row reduction, convert back into Cartesian form.

Exercises: Solve the following systems by row reducing the associated matrix. w + x +2y - z=8 1. xty=1 X- y =7 4. w - x + y- z =-2 3w+y+z=10 x - 2y + z =0 2. x - 3y + 2z = 7 5. 2v + w + x+2y - z=8 x+ y - 2z =2 2v + w + x+y- z=-2 x - 2y +z=4 w + x + 2y - z=-2 3. x - 3y + 2z =7 6. w+x+y-z=-1 x+y- 2z =-5 w- xty+z=3 w - xty+2z=6