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Answers
Step-by-step explanation:
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Answer:
the solution is,(x, y) =(3, 1)
Step-by-step explanation:
12\x+y - 4\x-y =1.......(1)
28\x+y - 4\x-y =5.......(2)
by sustitution method,
let 1\x+y = a................(3)
and 1\x-y = b...............(4)
so, from (3),(4)
12a-5b=1.........(5)
28a-4b=5.......(6)
sub. eq(5) and (6)
28a -4b = 5
-
12a - 4b = 1
____________
16a =4
a= 1\4
put a=1\4 in eq. (5)
12 x 1\4 - 4b = 1
3-4b=1
-4b=1-3
b=2\4
b=1\2
Reporting a= 1\x+y and b= 1\x-y
1\4 = 1\x+y ; 1\2 = 1\x-y
By invertendo,
4=x+y ........ (7)
2=x-y ......... (8)
Add. eq. (7), (8)
x+y = 4
+
x-y = 2
________
2x=6
x=6\2
x=3........ (9)
Put x=3 in eq. (8)
2=3-y
2-3=-y
-1 = -y
1=y .............. (10)
From (9), (10)
(x,y) = (3, 1)
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