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Show that x = 3 , y = 2 is not a solu...

Show that ` x = 3 , y = 2 ` is not a solution of the system of linear equations ` 3x - 2y = 5, 2 x + y = 7`

Text Solution

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The given equations are
` 3x - 2y = 5 " " ` … (i)
` 2x + y = 7 " " `… (ii)
Putting ` x = 3 and y = 2 ` in (i), we get
LHS = ` ( 3 xx 3 - 2 xx 2 ) = 5 = ` RHS
Putting ` x = 3 and y = 2 ` in (ii), we get
LHS =` ( 2xx 3 + 2) = 8 ne ` RHS.
Thus, the values ` x = 3, y = 2 ` do not saisfy (ii)
Hence, ` x = 3, y = 2 ` is not a solution of the given system of equations.
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