Question

Solve the given pair of equations by substitution method:

$x+y=0$
$y-x=6$

• A. $(2,7)$
• B. $(-3,3)$
• C. $(4,9)$
• D. $(-6,2)$

Answer 1

Answer: (B)

$(-3,3)$

We have, $x+y=0\Rightarrow x=-y$ ..........(1)

and $y-x=6$.......(2)

Now substitute value of x in terms of y from (1) to (2)

$\Rightarrow y-(-y)=6$

$\Rightarrow y+y=6$

$\Rightarrow 2y=6$

$\Rightarrow y=\frac{6}{2}=3$

$x=-y=-\left(3\right)=-3$

Hence solution set is $(x,y)=(-3,3)$