Question

x+4z=17; -3x+2y-z=-20; x-5y+3z=19

Answer 1

alright so take your first equation solve it for x

\[x=17-4z\] (all i did was subtract 4z on both sides)

take this and put it into the 3rd equation for x

\[(17-4z)-5y+3z=19\]
\[17-4z-5y+3z=19\]
\[17-z-5y=19\]
solve this for z
\[(17-19)-5y=z\]
\[-2-5y=z\]

Answer 2

lastly take what you got from x and z and put that into the 2nd equation

\[-3(17-4(-2-5y))+2y-(-2-5y)=-20\]

Answer 3

now simplify this and you'll get an equation that you can solve for y, which you can use to get z and use what you got for z to get x