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