Question

1. The solution for the equation x+y=10 and x-y=2 are
a) x=6,y=4
b) x=4,y=6
c) x=7,y=3
d) x=8,y=2​

Answer 1

x+y=10 ---1

x-y=2 ---2

Subtract 2 from 1

x-x+y+y = 10-2

2y =8

y = 4

Now,

x-4=2

x=6

Therefore option (a) is correct.

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Answer 2

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The solution of the given equation is :-

$x = 6 \: and \: y = 4$

Because :- 6 + 4 = 10

6 - 4 = 2