# Solve the followi

Given: - Two equations x + 2y = 1 and 3x + y = 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

x + 2y = 1

3x + y = 4

So by comparing with theorem, lets find D, D1 and D2 Solving determinant, expanding along 1st row

D = 1(1) – (3)(2)

D = 1 – 6

D = – 5

Again, Solving determinant, expanding along 1st row

D1 = 1(1) – (2)(4)

D1 = 1 – 8

D1 = – 7

and Solving determinant, expanding along 1st row

D2 = 1(4) – (1)(3)

D2 = 4 – 3

D2 = 1

Thus by Cramer’s Rule, we have   and   Rate this question :

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