Math, asked by SavalJavabShuruKaro, 2 days ago

Find the valued of P for which the following pair of linear equation have no solution -x +py= 7 ; px - y = 1​

Answers

Answered by aidenfernandes0407
0

Answer: Pair of linear equations

a₁x  +  b₁y + c₁  =  0

a₂x  +  b₂y + c₂  =  0

Consistent

if a₁/a₂ ≠ b₁/b₂   (unique solution  and lines intersects each others)

a₁/a₂ = b₁/b₂ = c₁/c₂   (infinite solutions and line coincide each other )

Inconsistent

if  a₁/a₂ = b₁/b₂ ≠  c₁/c₂  ( No solution , lines are parallel to each other)

x+py=1

px+y= p²

no solutions.​

= > 1/p  = p/1  ≠ 1/p²

1/p = p/1  = >  p² = 1  = > p  = ±1

p = 1

= > 1/1 = 1/1  =1/1   infinite solution

1/-1  = -1/1  ≠  1/(-1)²  no solution

Hence, value of p  is  -1   for no solution

x  - y = 1

-x + y = 1

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