Q. 35.0( 2 Votes )

Solve the followi

Answer :

Given: - Two equations 2x – y = 17 and 3x + 5y = 6


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 = 17


3x + 5y = 6


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



Solving determinant, expanding along 1st row


D = 2(5) – (3)( – 1)


D = 10 + 3


D = 13


Again,



Solving determinant, expanding along 1st row


D1 = 17(5) – (6)( – 1)


D1 = 85 + 6


D1 = 91


and



Solving determinant, expanding along 1st row


D2 = 2(6) – (17)(3)


D2 = 12 – 51


D2 = – 39


Thus by Cramer’s Rule, we have




x = 7


and




y = – 3


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