Problem

2. Calcule os termos desconhecidos: a) $\left(\begin{array}{cc}x & 3 \\ 5 & 2 y\end{array}\right)=\left(\begin{array}{cc}6 & 3 \\ 5 & 8\end{array}\right)$

Solution

Step 1 :Given the matrix equation: \(\left(\begin{array}{cc}x & 3 \\ 5 & 2 y\end{array}\right)=\left(\begin{array}{cc}6 & 3 \\ 5 & 8\end{array}\right)\)

Step 2 :Compare the corresponding elements of the two matrices to form equations:

Step 3 :\(x = 6\)

Step 4 :\(2y = 8\)

Step 5 :Solve the equations for x and y:

Step 6 :\(x = 6\)

Step 7 :\(y = \frac{8}{2} = 4\)

Step 8 :\(\boxed{x = 6 \text{ and } y = 4}\)

From Solvely APP
Source: https://solvelyapp.com/problems/8068/

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