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Solution of linear equation in 2 variables

Q which of th...

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Q which of the ordered pairs of numbers (7,13),(8,-2),(2,-6),(3,9) is a member of the solution set of x+y=6?

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$D e a r S t u d e n t, T h e e q u a t i o n i s x + y = 6 I n o r d e r f o r a p a i r o f (x, y,) t o b e a s o l u t i o n o f t h e e q u a t i o n . I t m u s t s a t i s f y t h e a b o v e e q u a t i o n F o r e g : - o r d e r p a i r (7, 1) i . e . x = 7, y = 1 g i v e s 7 + 1 \neq 6 H e n c e t h i s o r d e r p a i r i s n o t t h e s o l u t i o n . o r d e r p a i r (8, - 2) i . e . x = 8, y = - 2 G i v e s 8 + (- 2) = 6 6 = 6 H e n c e, I t s a t i s f y t h e e q u a t i o n . T h e r e f o r e (8, - 2) i s t h e r e q u i r e d s o l u t i o n . R e g a r d s .$

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