Question

Solve the following equations: $2x+3y=12$ and $x-y=1$.

Answer 1

$2x+3y=\mathrm{12.......}\left(1\right)$

$x-y=\mathrm{1......}\left(2\right)$

$\Rightarrow x=1+y$

Put in $2$

$2(1+y)+3y=12$

$\Rightarrow 2+2y+3y=12$

$\Rightarrow 5y=10$

$\therefore y=2$

$\Rightarrow x=1+2$

$\therefore x=3$