Math, asked by unique7561, 10 months ago

.Find the value of x+y & x-y for the equation 12x+13y=29 ; 13x + 12y = 21

Answers

Answered by biswajit1584
3

Answer:

x+y=2,x-y= -8

Step-by-step explanation:

12x+13y=29------------(equation1)

13x+12y=21-------------(equation2)

by substitution method,

12x+13y=29

Or, 12x=29-13y

Or,. x=(29-13y)/12

putting the value of x in equation 2

13{(29-13y)/12}+12y=21

Or, (377-169y)/12+12y=21

Or, 377-169y+144y=252

Or, 377-25y=252

Or, -25y= -125

Or, y= (-125)/(-25)

Or, y= 5

putting the value of y in equation 1

12x+13(5)=29

Or, 12x=29-65

Or, 12x= -36

Or, x= -3

Now,

x+y= -3+5=2

x-y= -3-5= -8

Similar questions