Question

if 2x+ 3y=12 and 3x+2y=13 then find value of (x+y)​

Answer 1

Answer:

Here is your answer

Explanation:

2x+3y = 12

3y = 12 - 2x

y = (12-2x)/3

Now substitute it into another equation

3x + 2[(12-2x)/3] = 13

3x + (24 - 4x)/3 = 13

(9x + 24 - 4x)/3 = 13

5x + 24 = 39

5x = 39 -24 =  15

x = 15 / 5 = 3

y = [12 - 2(3)]/3

y = (12 - 6)/3 = 2

So x + y = 3+2 = 5

( x +y )= 5