Question

Solve :
$x+2y=3$ and $4x+3y=2$

Answer 1

$x+2y=3$ ......$\left(1\right)$

$4x+3y=2$ ......$\left(2\right)$

$\left(1\right)\Rightarrow x=3-2y$

Put $x=3-2y$ in $\left(2\right)$ we get

$4(3-2y)+3y=2$

$\Rightarrow 12-8y+3y=2$

$\Rightarrow -5y=2-12=-10$

$\Rightarrow y=\frac{10}{5}=2$

Put $y=2$ in $x=3-2y=3-2\times 2=3-4=-1$

$\therefore x=-1$ and $y=2$