Question

A pair of linear equations which has a unique solution x = 2, y = -3 is​

Answer 1

Answer:

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

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=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⇒7

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=RHS

LHS=3x+2y⇒3(2)+1(−3)⇒6−6=0RHS