Q. 73.7( 3 Votes )

Solve the followi

Answer :

Given: - Two equations 2x – 3y = 10 and x + 6y = 4

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 + 3y = 10

x + 6y = 4

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

Solving determinant, expanding along 1st row

D = 2(6) – (3)(1)

D = 12 – 3

D = 9

Again,

Solving determinant, expanding along 1st row

D1 = 10(6) – (3)(4)

D = 60 – 12

D = 48

and

Solving determinant, expanding along 1st row

D2 = 2(4) – (10)(1)

D2 = 8 – 10

D2 = – 2

Thus by Cramer’s Rule, we have

and

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