Question

Find x and y, if (x+y, 2)=(3, 2x+y)

Answer 1

By the definition of equality of ordered pair,

(x+y,2)=(3,2x+y)

$\Rightarrow x+y=3$

and 2x+y=2

On subtracting Eq. (ii) from Eq. (i), we get

$x+y=32x+y=2\underset{–}{--=-}-x=1$
$\Rightarrow x=-1$

Put x=-1 in Eq. (i), we get

$y=3-(-1)=4$

Hence, $x=-1$ and $y=4$