https://file.aiquickdraw.com/mathbot/file/17264497935131mwdsphv.jpg

The given matrix equation is:

\[
\begin{pmatrix}
-5 & x \\
y & 9
\end{pmatrix}
=
\begin{pmatrix}
-5 & 19 \\
18 & 9
\end{pmatrix}
\]

To find the values of \( x \) and \( y \), we equate the corresponding elements of both matrices:

1. From the first row, second column:
   \[
   x = 19
   \]

2. From the second row, first column:
   \[
   y = 18
   \]

Thus, the solution is:
\[
x = 19 \quad \text{and} \quad y = 18
\]

Would you like any further details or explanations?

Here are some related questions you might want to explore:
1. What are the properties of matrix equality?
2. Can you solve a system of equations using matrices?
3. How do you perform matrix multiplication?
4. What is the inverse of a matrix?
5. How do you solve for unknowns in a system of linear equations?

**Tip:** When working with matrix equations, always ensure the matrices are of the same dimensions before comparing corresponding elements.

Find x and y in the matrix equation: 
[ -5  x ] = [ -5  19 ]
[ y  9 ]   [ 18  9 ]

Learn how to find the values of x and y in a matrix equation using the concept of matrix equality. This problem involves basic matrix operations and is suitable for students in Grades 8-10.

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