Q. 24.0( 3 Votes )

Solve the followi

Answer :

Given: - Two equations 2x – y = 1 and 7x – 2y = – 7


Tip: - Theorem – Cramer’s Rule


Let there be a system of n simultaneous linear equations and with n unknown given by







and let Dj be the determinant obtained from D after replacing the jth column by



Then,


provided that D ≠ 0


Now, here we have


2x – y = 1


7x – 2y = – 7


So by comparing with the theorem, let's find D, D1 and D2



Solving determinant, expanding along 1st row


D = 2( – 2) – (7)( – 1)


D = – 4 + 7


D = 3


Again,



Solving determinant, expanding along 1st row


D1 = 1( – 2) – ( – 7)( – 1)


D1 = – 2 – 7


D1 = – 9


and



Solving determinant, expanding along 1st row


D2 = 2( – 7) – (7)(1)


D2 = – 14 – 7


D2 = – 21


Thus by Cramer’s Rule, we have




x = – 3


and




y = – 7


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