solve the equation 5x+11y=146
11x+5y=110
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Answered by
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Hii !!
5x + 11y = 146 ------------(1)
And,
11x + 5y = 110 --------------(2)
From equation (1) , we get
5x + 11y = 146
5x = ( 146 - 11y )
X = ( 146 - 11y /5) ------------(3)
Putting the value of X in equation (2) , we get
11x + 5y = 110
11 × ( 146 - 11y /5) + 5y = 110
1606 - 121Y/5 + 5y = 110
1606 - 121Y + 25Y = 110 × 5
-121Y + 25Y + 1606 = 550
-96Y = 550 - 1606
-96Y = - 1056
Y = 1056/96
Y = 11
Putting the value of Y in equation (3) , we get
X = ( 146 - 11Y/5 ) = ( 146 - 11 × 11 /5 )
X = ( 146 - 121 / 5 )
X = 25/5 = 5.
Hence,
X = 5 and Y = 11.
5x + 11y = 146 ------------(1)
And,
11x + 5y = 110 --------------(2)
From equation (1) , we get
5x + 11y = 146
5x = ( 146 - 11y )
X = ( 146 - 11y /5) ------------(3)
Putting the value of X in equation (2) , we get
11x + 5y = 110
11 × ( 146 - 11y /5) + 5y = 110
1606 - 121Y/5 + 5y = 110
1606 - 121Y + 25Y = 110 × 5
-121Y + 25Y + 1606 = 550
-96Y = 550 - 1606
-96Y = - 1056
Y = 1056/96
Y = 11
Putting the value of Y in equation (3) , we get
X = ( 146 - 11Y/5 ) = ( 146 - 11 × 11 /5 )
X = ( 146 - 121 / 5 )
X = 25/5 = 5.
Hence,
X = 5 and Y = 11.
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