Question

HELP PLEASE ! ! ! ! ! ! ! ! !

2x-y+2z=-7
-x+2y-4z=5
x+4y-6z=-1

Solve The System Using The Elimination Method.

Answer 1

The solution is x = -3, y = -1, z = -1

Answer 2

Could You Please Explain How That Worked ?

Answer 3

* How You Got That Answer

Answer 4

assume second with 3rd and you get 6y-10z=4

Answer 5

What About The Second Equation ? I Got 6y-10z=4 & 3y-6z=3 As My Two Equations .

Answer 6

multiply second equation with 2 and assum it with first equation
so -2x+4y-8z=10

Answer 7

2x-y+2z=-7
-2x+4y-8z=10
--------------
0 3y-6z=3 / divide by 3
y-2z=1

y-2z=1
6y-10z=4 /divide by 2 and will get 3y-5z=2

y-2z=1 multiply by 3 and subtract second from first equation
3y-5z=2

3y-6z=3
3y-5z=2
---------
0 -z=1
z=-1

y-2z=1
y-2(-1)=1
y+2=1
y=-1

x=2y-4z-5
x=2(-1)-4(-1)-5=-2+4-5=-7+4=-3

x=-3
y=-1
z=-1