If x=2,y=3 is a solution of (p+1)x-(2p+3)y-1 find value of P
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Hey there!
_______________________
Given :
x = 2,
y = 3
To find :
Value of P.
Solution :
( p + 1 ) x - ( 2p + 3 ) y - 1 = 0
⇒ ( p + 1 ) * 2 - ( 2p + 3 ) * 3 - 1 = 0
⇒ 2 ( p + 1 ) - 3 ( 2p + 3 ) - 1 = 0
⇒ 2p + 2 - 6p - 9 - 1 = 0
⇒ - 4p - 8 = 0
⇒ - 4p = 8
⇒ p = - 8 / 4
⇒ p = - 2
Hence, the value of P is - 2.
Verification :
Putting the value of P = - 2.
( p + 1 ) x - ( 2p + 3 ) y - 1 = 0
⇒ ( -2 + 1 ) 2 - { 2 (-2) + 3} 3 - 1 = 0
⇒ - 1 * 2 - { - 4 + 3} * 3 = 0
⇒ - 2 + 12 - 9 = 0
⇒ 12 - 12 = 0
⇒ 0 = 0
LHS = RHS.
Hence, the value of P is - 2.
_______________________
Thanks for the question!
☺️☺️☺️
_______________________
Given :
x = 2,
y = 3
To find :
Value of P.
Solution :
( p + 1 ) x - ( 2p + 3 ) y - 1 = 0
⇒ ( p + 1 ) * 2 - ( 2p + 3 ) * 3 - 1 = 0
⇒ 2 ( p + 1 ) - 3 ( 2p + 3 ) - 1 = 0
⇒ 2p + 2 - 6p - 9 - 1 = 0
⇒ - 4p - 8 = 0
⇒ - 4p = 8
⇒ p = - 8 / 4
⇒ p = - 2
Hence, the value of P is - 2.
Verification :
Putting the value of P = - 2.
( p + 1 ) x - ( 2p + 3 ) y - 1 = 0
⇒ ( -2 + 1 ) 2 - { 2 (-2) + 3} 3 - 1 = 0
⇒ - 1 * 2 - { - 4 + 3} * 3 = 0
⇒ - 2 + 12 - 9 = 0
⇒ 12 - 12 = 0
⇒ 0 = 0
LHS = RHS.
Hence, the value of P is - 2.
_______________________
Thanks for the question!
☺️☺️☺️
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