Question

Determine the linear equation whose solutions are represented by the points having the sum of the coordinates as $10$ units.

• A. $x+y=10$
• B. $2x+2y=10$
• C. $y=10$
• D. $x=10$

Answer 1

The correct option is A $x+y=10$

Given that sum of the co-ordinates $=10$ units.

From table, we have

$x+y=-5+15=10$,

$x+y=5+5=10$,

and $x+y=15-5=10$

$\Rightarrow x+y=10$

$\Rightarrow y=10-x$
Hence., option A is correct.