Question

If 7x+13y=27 and 13x+7y=33, find x+y​

Answer 1

Answer:

3

Step-by-step explanation:

Hope it helps.........

Answer 2

Answer:

3

Step-by-step explanation:

From equation 1(7x+13y=27):

13y=27-7x

y=(27-7x)/13

Substituting the value of y derived form equation 1 in equation 2(13x+7y=33)

13x+7((27-7x)/13)=33

13x+(189-49x)/13=33

(169x)/13+(189-49x)/13=33

(169x-49x+189)/13=33

120x+189=33*13

120x=429-189

120x=240

x=2.

Substituing the value of x in either euation 1 or 2 you get the value of y

By substituting the value of x in equation 1:

7(2)+13y=27

14+13y=27

13y=27-14

13y=13

y=13/13=1

Thus x=2 and y=1, So x+y=2+1=3