Find the value of "P” if P = k⁴ + k² + k , given that the given system of linear equation is inconsistent

3x + y = 1
(2k - 1)x + (k - 1)y = 2k + 1

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Solution

The correct option is B
22

The given system of linear equations is inconsistent.

3x + y = 1

(2k - 1)x + (k - 1)y = 2k + 1

If the system of equations is inconsistent, then a₁b₂ - a₂b₁ = 0

3(k - 1) - (2k - 1)1 = 0

3k - 3 - 2k + 1 = 0

k = 2

P = k⁴ + k² + k = 2⁴ + 2² + 2 = 16 + 4 + 2 =22

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