SOLUTION: solve by method of elimation QUS:ax+by=0,x+y-c=0

Algebra ->  Linear-equations -> SOLUTION: solve by method of elimation QUS:ax+by=0,x+y-c=0      Log On


   



Question 862163: solve by method of elimation
QUS:ax+by=0,x+y-c=0

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.ax%2Bby=0
2.x%2By-c=0
Multiply eq. 2 by -a and add to eq. 1,
ax%2Bby-ax-ay%2Bac=0
by-ay=-ac
y%28b-a%29=-ac
highlight%28y=-%28ac%29%2F%28b-a%29%29
.
.
x-%28ac%29%2F%28b-a%29-c=0
x=c%2B%28ac%29%2F%28b-a%29
x=%28c%28b-a%29%29%2F%28b-a%29%2B%28ac%29%2F%28b-a%29
x=%28cb-ca%2Bac%29%2F%28b-a%29
highlight%28x=%28bc%29%2F%28b-a%29%29