Q. 85.0( 2 Votes )

Solve the followi

Answer :

Given: - Two equations 5x + 7y = – 2 and 4x + 6y = – 3


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


5x + 7y = – 2


4x + 6y = – 3


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



Solving determinant, expanding along 1st row


D = 5(6) – (7)(4)


D = 30 – 28


D = 2


Again,



Solving determinant, expanding along 1st row


D1 = – 2(6) – (7)( – 3)


D1 = – 12 + 21


D1 = 9


and



Solving determinant, expanding along 1st row


D2 = – 3(5) – ( – 2)(4)


D2 = – 15 + 8


D2 = – 7


Thus by Cramer’s Rule, we have





and





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