Question

If x = a, y = b is the solution of
the equations 13x +23 y = 49
and 23x +13y = 59, then the
values of a and b are
respectively *​

Answer 1

Step-by-step explanation:

let x=a,y=b

the equation will be comes,

13a+23b=49__1equation

23a+13b=59__2equation

by elimination method,

multiple eq1 by 23 and eq2by 13

then it becomes

299a+529b=1127

299a+169b=767. (-)

_____________

360b=360

_____________

b=1

apply b on equ 1

13 a+ 23(1)=49

13a=49-23

13a=26

a=26/13

a=2

then a and b are 2 and 1

this answer may be helps you !!!