Question

21. x+y=6 and x - y = 2.​

Answer 1

Answer:

x+y=6

x-y=2

____

2x =8

x=8/2

x=4

x+y=8

4+y=8

y=8-4

y=4

Answer 2

$x + y = 6......(1) \\ x - y = 2......(2) \\ \\ ∴(x + y = 6) +( x - y = 2)....by \\ \: adding \: (1) \: and\:(2) \\ \\ ∴(x = 6) +( x = 2)....by \: eliminating \: 'y' \\ \\ ∴(x + x) = (6 + 2) \\ \\ ∴ 2x = 8 \\ \\ ∴x = \frac{8}{2} \\ \\ ∴ \green{\boxed{ x = 4}} \\ \\ Lets, \: find \: the \: value \: of \: 'y' \\ \\ Hence, \: x = 4 \\ \\ ∴4 + y = 6....from(1) \\ \\ ∴y = 6 - 4 \\ \\∴ \green{ \boxed{ y = 2}}$