Solve for the given letter.
-$$\left| \begin{array} { r r }
- 7 & 9 \
3 & x
\end{array} \right| = - 62$$
A)0
B)5
C)9
D)50

Question

Solve for the given letter.
-$$\left| \begin{array} { r r } 
- 7 & 9 \
3 & x
\end{array} \right| = - 62$$
A)0
B)5
C)9
D)50

Quizplus · Accepted Answer

The determinant of a 2x2 matrix $\left| \begin{array} { r r } a & b \ c & d \end{array} \right|$ is calculated as $ad - bc$. Here, $-7x - 27 = -62$. Solving for $x$, we get $-7x = -62 + 27$, which simplifies to $-7x = -35$. Dividing both sides by $-7$, we find $x = 5$.

Solve for the Given Letter ∣−793x∣=−62\left| \begin{array} { r r } - 7 & 9 \\3 & x\end{array} \right| = - 62​−73​9x​​=−62

Solve for the Given Letter $\left| \begin{array} { r r } - 7 & 9 \\3 & x\end{array} \right| = - 62$