obtain the condition of the following system of a linear equation to have a unique solution: ax+by+c=0 ; lx+my+n=0 guys plz help me with this problem... will surely mark the answer as brainliest
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Solution. a1x+b1y+c1=0. a2x+b2y+c2=0. Where a1=1,b1=2,c1=−c. And a2=l,b2=m,c2=−n.
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The condition of the following system of a linear equation to have a unique solution is
[ Coefficient of x in 1st equation / Coefficient of x in 2nd equation] # [ Coefficient of y in 1st equation / Coefficient of y in 2nd equation]
So
( a / l ) # ( b/ m)
Which is the required condition
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