Question

If (x-2,2y+1)= (y-1,x+2) find x+y

Answer 1

$Given \: (x-2,2y+1) = (y-1,x+2)$

$\blue { If \: (a,b) = (c,d) \implies a = c \:and \:b=d}$

$\implies x - 2 = y - 1$

$\implies x = y - 1 + 2$

$\implies x = y + 1 \: --(1)$

$and \: 2y+1 = x + 2$

$\implies 2y = x + 2 + 1$

$\implies 2y = y+1 + 3 \: [ From \: (1) ]$

$\implies 2y - y = 4$

$\implies y = 4 \: --(2)$

/* Put y = 4 in equation (1) , we get */

$x = 4 + 1 = 5 \: --(3)$

Therefore.,

$\red{ Value \: of \: x + y }$

$= 5 + 4$

$\green { = 9 }$

•••♪