If ∣∣ ∣∣2−53x14032∣∣ ∣∣=132 | 2 − 5 3 x 1 4..

Question 1 Report

If $| \begin{array}{lll} 2 & - 5 & 3 \\ x & 1 & 4 \\ 0 & 3 & 2 \end{array} | = 132$ , find the value of x.

Answer Details

| \begin{array}{lll} 2 & - 5 & 3 \\ x & 1 & 4 \\ 0 & 3 & 2 \end{array} | = 132

⟹ 2 | \begin{matrix} 1 & 4 \\ 3 & 2 \end{matrix} | - (- 5) | \begin{matrix} x & 4 \\ 0 & 2 \end{matrix} | + 3 | \begin{matrix} x & 1 \\ 0 & 3 \end{matrix} | = 132

2 (2 - 12) + 5 (2 x) + 3 (3 x) = 132

- 20 + 10 x + 9 x = 132

19 x = 152

x = 8

If ∣∣ ∣∣2−53x14032∣∣ ∣∣=132 | 2 − 5 3 x 1 4 0 3 2 | = 132 , find the value of x.