Q2 of 23 Page 1

Attempt of the following sub questions:

Solve the following simultaneous equations using Cramer’s rule:
4x + 3y = 4
6x + 5y = 8

Given: 4x + 3y = 4 , 6x + 5y = 8


Finding the determinants


D = = (5 × 4) – (6 × 3) = 20 – 18 = -2


⇒ D = -2 …(i)


Dx = = (8 × 3) – (5 × 4) = 24 – 20 = 4


⇒ Dx = 4 …(ii)


Dy = = (6 × 4) – (8 × 4) = 24 – 32 = -8


⇒ Dy = -8 …(iii)


According to cramer’s rule


x = and y =


using (i) and (ii)


x = = -2


⇒ x = -2


Now, using (i) and (iii)


y = = 4


⇒ y = 4


Therefore, x = -2 and y = 4


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