Question

The Solution for Given Equations x + y =10 and x - y = 2

Answer 1

x+y=10
x-y=2
2x=12
x=6
y=4

Answer 2

X = 6
Y = 4


SOLUTION :-

By substitution method :-
$x + y = 10....(i) \\ \\ x - y = 2......(ii) \\ \\ from \: equation \: (ii) \: we \: get \\ \\ x - y = 2 \\ x = 2 + y \\ \\ putting \: this \: in \: (i) \\ \\ x + y = 10 \\ 2 + y + y = 10 \\ 2y = 10 - 2 = 8 \\ \\ y = \frac{8}{2} = 4 \\ \\ obtaining \: x \\ \\ x = 2 + y = 2 + 4 = 6 \\ \\ hence \\ x = 6 \\ y = 4$


By Elimination method :-

$x + y = 10.....(i) \\ x - y = 2......(ii) \\ \\ adding \: (ii) \: and \: (i) \\ \\ x + y = 10 \\ x - y = 2 \\ = = = = = = = = \\ 2x \: \: \: \: \: \: = 12 \\ \\ x = \frac{12}{2} = 6 \\ \\ obtaining \: y \: \\ x + y = 10 \\ y = 10 - x = 10 - 6 = 4 \\ \\ hence \\ x = 6 \\ y = 4$



Thanks!