Question

Find the value of k for the system of equations has a unique solution:

4x – 5y = k, 2x – 3y = 12.

Answer 1

4x – 5y = k …….(1)

2x – 3y = 12 …………(2)

Here,

a₁ = 4, b₁ = – 5, c₁ = – k

a₂ = 2, b₂ = – 3, c₂ = – 12

Which shows that,

Therefore, k is any real number.