Question

Identify a solution of the linear equation $x+y=0$

• A. $(2,2)$
• B. $(2,3)$
• C. $(1,-1)$
• D. $(4,-4)$

Answer 1

Answer: (C), (D)

The correct options are
C $(1,-1)$
D $(4,-4)$

Given linear equation is $x+y=0$

(A) If $x=2$ and $y=2$

Then, $2+2=4\ne 0$

Then this is not a solution of $x+y=0$

(B) If $x=2$ and $y=3$

Then, $2+3=5\ne 0$

Then, this is not a solution of $x+y=0$

(C) If $x=1$ and $y=-1$

Then, $1-1=0=0$

So, this is the solution of $x+y=0$

(D) If $x=4$ and $y=-4$

Then, $4-4=0=0$

So, this is the solution of $x+y=0$

Thus (C) and (D) are the solutions of $x+y=0$