10. The pair of linear equations which has unique solution as x=3 and y= -1 is
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2x+5y=−11 and 4x+10y=−22
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2x−y=1 and 3x+2y=0
As x=2,y=−3 is unique solution of system of equations so these values of must satisfy both equations
(a) x+y=−1 and 2x−3y=−5
Put x= and y=3 in bot the equations.
LHS=x+y⇒2−3=−1(RHS)
LHS=2x−3y⇒2(2)−3(3)⇒4+9=13=RHS
(b) 2x+5y=−11 and 4x+10y=−22
Put x=2 and y=−3 in both equations.
LHS=2x+5y⇒2×2+(−3)⇒4−15=−11=RHS
LHS=4x+10y⇒4(2)+10(−3)⇒8−30=−22=RHS
(c) 2x−y=1 and 3x+2y=0
Put x=2 and y=−3 in both the equations'
LHS=2x−y⇒2(2)+3⇒
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