Question

Solve the following pair of linear equations by the substitution method

$x+y=14,x-y=4$

• A. $x=8,y=5$
• B. $x=6,y=9$
• C. $x=7,y=10$
• D. None of these

Answer 1

The correct option is D None of these

$x+y=14$ ....(i)
$x-y=4$ .....(ii)
From (ii) $y=x-4$ ...(iii)
Substituting y from (iii) in (i), we get
$x+x-4=14$
$\Rightarrow 2x=18$
$\Rightarrow x=9$
Substituting $x=9$ in (iii), we get
$y=9-4=5$,
i.e, $y=5$
$x=9,y=5$