Question

Solve the following pair of linear equations by the elimination method:
$x+y=5$ and $2x-3y=4$

Answer 1

Given, a pair of linear equations ,

$\Rightarrow x+y=\mathrm{5.......}\left(1\right)$

$2x-3y=\mathrm{4........}\left(2\right)$

From, $\left(1\right)$ we have,

$\Rightarrow x=5-y.......\left(3\right)$

substituting $\left(3\right)$ in $\left(2\right)$ we have,

$\Rightarrow 2(5-y)-3y=4$

$10-2y-y=4$

$6=5y$

$y=\frac{6}{5}$

$\therefore x=5-\frac{6}{5}$

$=\frac{25-6}{5}$

$=\frac{19}{5}$

$\therefore$ For the above linear pair of equations the solution is $x=\frac{19}{5}$ $y=\frac{6}{5}$

Hence, solved.