Math  /  Algebra

QuestionA=[364x]B=[5234]A=\left[\begin{array}{ll} 3 & 6 \\ 4 & x \end{array}\right] \quad B=\left[\begin{array}{cc} 5 & -2 \\ 3 & 4 \end{array}\right]
Find det(5A1Bt)=5\operatorname{det}\left(5 A^{-1} B^{t}\right)=5

Studdy Solution
Solve for x x :
Simplify the equation:
6503x24=5\frac{650}{3x - 24} = 5
Multiply both sides by 3x24 3x - 24 :
650=5(3x24)650 = 5(3x - 24)
Expand and solve for x x :
650=15x120650 = 15x - 120
Add 120 to both sides:
770=15x770 = 15x
Divide by 15:
x=77015=1543x = \frac{770}{15} = \frac{154}{3}
The value of x x is:
1543 \boxed{\frac{154}{3}}

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