Question

The solution to the system of equations |x + y| = 1
and x-y = 0 is given by​

Answer 1

Answer:

K=2

Step-by-step explanation:

x−y= 31

.⇒x=y+ 31

cos 2 πx−sin 2 πy= 21

⇒cos 2 (πy+ 3π )−∞sin 2

πy= 21

⇒cos(2πy+ 3π )cos 3π = 21

[∵cos 2 A−sin 2B=cos(A+B)cos(A−B)]

⇒cos(2πy+ 3π )=1

⇒2πy+ 3π

=2kπ,k∈Z

⇒y=k− 61 ,k∈Z

⇒x=k+ 61

∴ Solution system is {(k+ 61 ,k− 61 )k∈Z}for (c), put k=2