Solve the pair of linear equation by elimination method
x/2 + 2y/3 = -1
x- y/3 = 3
Answers
Answered by
13
Answer :
x = 2 , y = -3
Solution :
Here ,
The given equations are ;
x/2 + 2y/3 = -1 -------(1)
x - y/3 = 3 ----------(2)
Eq-(1) can be rewritten as ;
=> x/2 + 2y/3 = -1
=> (3x + 4y)/6 = -1
=> 3x + 4y = -1×6
=> 3x + 4y = -6 --------(3)
Eq-(2) can be rewritten as ;
=> x - y/3 = 3
=> (3x - y)/3 = 3
=> 3x - y = 3×3
=> 3x - y = 9 --------(4)
Now ,
Subtracting eq-(4) from (3) , we get ;
=> (3x + 4y) - (3x - y) = -6 - 9
=> 3x + 4y - 3x + y = -15
=> 5y = -15
=> y = -15/5
=> y = -3
Now ,
Putting y = -3 in eq-(4) , we get ;
=> 3x - y = 9
=> 3x - (-3) = 9
=> 3x + 3 = 9
=> 3x = 9 - 3
=> 3x = 6
=> x = 6/3
=> x = 2
Hence ,
x = 2 , y = -3
Answered by
8
y is -5 pls find x by urself and value of x is 14/3
i found the really hard
pls mark as the brainliest answer my friend
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