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Question

Show that x=2,y=1 is a solution of the system of simultaneous linear equations.
3x2y=4
2x+y=5.

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Solution

The given system of equations is
3x2y=4 .(i)
2x+y=5 ..(ii)

Putting x=2 and y=1 in equation (i), we have
LHS =3×22×1=4=RHS

Putting x=2 and y=1 in equation (ii), we have
LHS=2×2+1×1=5=RHS

Thus, x=2 and y=1 satisfy both the equations of the given system.

Hence, x=2, y=1 is a solution of the given system.

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