what is the solution of this system of equations? 5x + 2y + z = -11 2x - 3y - z =17 7x + y + 2z = -4 a) ( -3, 0, 4) b) (0, -6, 1) c) (0, 6, -1) d) (3, 0, -4)

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1. Set the first two equations together. 2. Pick a variable to eliminate, say z.3. Take the second two equation together and eliminate the same variable, "z".4. Then take the two new equations together and eliminate "x" or "y".5x+2y+z=-112x-3y-z=17(eliminating z) 7x-1y=62x-3y-z=17 multiply by two 4x-6y-2z=347x+y+2z=-4(eliminating z) 11x-5y=307x-1y=6 multiply by -5   -35x+5y=-3011x-5y=30(eliminating y) -24x=0 therefore x=0then substitute in x so then 11(0) - 5y = 30, y=-6 then solve for z!

b) (0, -6, 1)