Can someone please show steps to solve 3x3 without cramer's rule thank you luvvs

cramers-rule

#1

CAN SOMEONE PLEASE SHOW STEPS TO SOLVE 3X3 WITHOUT CRAMER’S RULE THANK YOU LUVVS!!!

x-y+2z=0
3x+z=11
-x+2y=0

Answer:

x-y+2z=0…eqation1
3x+z=11…eqation2
-x+2y=0…eqation 3
simply eqation 2
as z=11-3x…put it in eqation1
eqation1 becomes
x-y+2(11-3x)=0
x-y+22-6x=0
-5x-y=-22
multiply by 2 on both sides
-10x-2y=-44…eqation4
Now Add eqation 3 and eqation 4 you will get
-11x=-44
x=4
so z=11-3x
z=11-34
z=11-12
z=-1
put the value of X and Y in eqation 1
x-y+2z=0
4-y+2
(-1)=0
4-y-2=0
-y+2=0
-y=-2
multiply BY -1 on both sides
y=2

So value of x=4 , y=2 ,z=-1