# Solve the followi

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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