Please help and take me through the steps. I have been told the answer is (1,2,3,4) but I need to know how to go through the steps to be able to apply to other problems.
x + y + z + w = 10
x + 2y + 3z + 6w = 22
x + 3y + 7z + 7w = 26
x + 4y + 7z + 7w = 37
+6250 subtract eq 3 from eq 4y=11subtract eq 2 from eq 3y+4z+w=411+4z+w=44z+w=−7
subtract eq 1 from eq 2y+2z+5w=1211+2z+5w=122z+5w=1
now we have 2 equations in 2 variablesw+4z=−75w+2z=1subtract twice eq 2 from eq 1−9w=−9w=1and from eq 11+4z=−7z=−2
now dump everything we know into eq 1x+11+−2+1=10x+10=10x=0
(w,x,y,z)=(1,0,11,−2)
So someone was pulling your leg
.+6250 subtract eq 3 from eq 4y=11subtract eq 2 from eq 3y+4z+w=411+4z+w=44z+w=−7
subtract eq 1 from eq 2y+2z+5w=1211+2z+5w=122z+5w=1
now we have 2 equations in 2 variablesw+4z=−75w+2z=1subtract twice eq 2 from eq 1−9w=−9w=1and from eq 11+4z=−7z=−2
now dump everything we know into eq 1x+11+−2+1=10x+10=10x=0
(w,x,y,z)=(1,0,11,−2)
So someone was pulling your leg
