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Question:- One of the solutions of ax+by = 2 is
Answers
Step-by-step explanation:
Answers:
ax+by=2
(1) a(1)+b(2-b)/a=2
=a+2b-b²/a=2
=a²+2b-b²=2a
=a²-2a+2b-b²=0
=a(a-2)+b(b-2)=0
a=2,b=2
(2) a(2/b)+b(0)=2
2a/b+0=2
2a=2b
a=b
3)a(2-b/a)+b=2
(2-b) +b=2
2-b+b=2
2=2=0
4) a(0)+b(2/a)=2
2b=2a
b=a.
Given : ax+by =2
To find : One of the solutions
1] (1,2-b/a)
2] (2/b,/0)
3] (2-b/a,1)
4] (0,2/a)
Solution:
ax+by =2
=> by = 2 - ax
=> y = (2 - ax)/b
x = 1
=> y = (2 - a)/b
( 1, (2 - a)/b)
x = 0
=> y = 2/b
(0 , 2/b)
put y = 1
=>x = (2 - b)/a
(2-b)/a , 1
option 3rd is correct
put y = 0
=> x = 2/a
( 2/a , 0 )
(2-b)/a , 1
option 3rd is correct
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