for what value of P will the following system of linear equations represent Parallel Lines - X + p Y = 1 and px minus y = 1

Dear student,

given: -x+py=1 px-y=1Solution: comapring the given equations with a1x+b1y+c1=0 anda2x+b2y+c2=0we have,a1=-1 ;  b1=p   ; c1=-1a2=p    ;  b2=-1  ; c2=-1If the pair of  linaer equations is is parallel i.e have no sulution thena1a2=b1b2c1c2 -1p=p-1-1-1-1p=p-1   p2=1p±1     .........(1)p-1-1-1p-1   ......(2)From (1) and (2)p=1             ....... ans

Regards
 

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