for what value of P will the following system of linear equations represent Parallel Lines - X + p Y - Maths - Pair of Linear Equations in Two Variables

Question

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

Roopam Pandey · Accepted Answer

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=b1b2≠c1c2 -1p=p-1≠-1-1-1p=p-1   ⇒p2=1⇒p±1     
(1)p-1≠-1-1⇒p≠-1   
(2)From (1) and (2)p=1             
 ans

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