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Question

Mathematics Question on Determinants

If [x+75\[0.3em]x33]=26,\begin{bmatrix} x+7 & 5 \\\[0.3em] x-3 & 3 \end{bmatrix}=26, then xx =

A

1

B

3

C

5

D

7

Answer

5

Explanation

Solution

As given 3x+215x+153x + 2 1 - 5x + 1 5 = 26
2x=261521\Rightarrow \, - 2 x = 2 6 - 1 5 - 2 1 = - 10
x=5\Rightarrow\, x = 5 \,