Question

if 12x+13y= 62 and 13x+12y =63 then the value of x+y is....
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Answer 1

Step-by-step explanation:

13x+12y=63------(1)

12x+13y=62-------(2)

(1)+(2)

13x+12y=63

12x+13y=62

_________

25x+25y=125

take 25 as common

25(x+y)=125

x+y=125/25

x+y=5

Answer 2

Answer:

5

Step-by-step explanation:

Generalization: The two equation of the types ax + by = p and bx + ay = q can be easily solved by adding both the equation as we get (a+b) common both sides;

This gives,

$x +y =\frac{p+q}{a+b}$

In above question, we have p and q as 62 and 63.  So we get

x+y = (62+63)/(12+13) = 125/25=5

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