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is there any formula for finding pt. of intersection between: ax+by+c=0 bx+ay+c=0

is there any formula for finding pt. of intersection between:
 
ax+by+c=0
bx+ay+c=0
 

Grade:12

3 Answers

Ishan Mistry
19 Points
7 years ago
Yes, you can apply cross multiplication method(similar to solving determinants). In this eqns, 
  x     =    -y    =    1   . Hence, x=y= -c  
bc-ac   ac-bc     a2-b2                     a+b       
Abhishek Singh
105 Points
7 years ago
i think that there is a better way , we see that when we replace x with y in any eqn. we get the other one which means that the st. line intersect at y=x line as they are symmeteric about it.
Put y=x in any line to easily get y=x=-c/a+b
daksh
13 Points
7 years ago
how you can say that they intersect at y=x , its for sure that they are symmmetric but i think its only a special case that they intersect at y=x.

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