Solve the system by elimination. x+5y-4z=-10, 2x-y+5z=-9, 2x-10y-5z=0. A.(5, -1, 0) B.(-5, 1, 0) C.(-5, -1, 0) D.(-5, -1, -2)

1 answer

You can start out like this to eliminate x:
x+5y-4z = -10
2x-y+5z = -9
2x-10y-5z = 0
double row 1 and subtract it from rows 2,3:
2x+10y-8z = -20
.....-11y+13z = 11
.....-20y+3z = 20
Now proceed to eliminate y using row 2, and eliminate z using row 3

There are also handy online calculators that show the steps, such as
onlinemschool.c om/math/assistance/equation/gaus/