Question

if X=2p+1 and y=p-1 is a solution of the linear equation 2x-3y+5=0, then find the value of p.​

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{x=2p+1 and y=p-1 is a solution of the linear}$

$\mathsf{equation\;2x-3y+5=0}$

$\underline{\textsf{To find:}}$

$\textsf{The value of p}$

$\underline{\textsf{Solution:}}$

$\textsf{Since x=2p+1 and y=p-1 is a solution of the linear equation 2x-3y+5=0,}$

$\textsf{it will satisfy 2x-3y+5=0}$

$\implies\mathsf{2(2p+1)-3(p-1)+5=0}$

$\implies\mathsf{4p+2-3p+3+5=0}$

$\implies\mathsf{p+10=0}$

$\implies\boxed{\mathsf{p=-10}}$

$\underline{\textsf{Answer:}}$

$\textsf{The value of p is -10}$

Answer 2

see the attached picture