This is the basic and conceptual question from linear equations in two variables in which we have given two equations 12x+17y=53, 17x+12y=63 and we have to find the value of (x+y)
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, Chapter 3F, question no 15
12x+17y=53 …(i)
17x+12y=63 …(ii)
On adding (i) and (ii) , we get
29x+29y=116
⇒x+y=4 ….(iii)
On subtracting (i) from (ii) , we get
5x−5y=10
⇒x−y=2 ….(iv)
On adding (iii) and (iv) , we get
2x=6
⇒x=3
By putting x=3 in (iii), we get
3+y=4
⇒y=1