Question

Find x and y if $(x+3,5)=(6,2x+y)$.

Answer 1

Here, $(x+3,5)=(6,2x+y)$

so if $(a,b)=(c,d)=(c,d)$ then

$a=c$ & $b=d$

i.e., $x+3=6---\left(1\right)$

$5=2x+y$

$\therefore 2x+y=5---\left(2\right)$

From equation $\left(1\right)$ we get

$x+3=6$

$x=6-3=3$

$x=3$

Using $x=3$ in the equation $\left(2\right)$ we get

$2x+y=5$

$2\left(3\right)+y=5$

$6+y=5$

$y=5-6=-1$

$\therefore x=3$ & $y=1$