https://file.aiquickdraw.com/mathbot/file/1730688396025i88hqqf2.jpg

The image contains three matrix equations. Let's go through each one and solve for \( x \).

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### Problem 1
\[
\begin{pmatrix} 2x & x \\ x & -3 \end{pmatrix} - \begin{pmatrix} -3 & 4 \\ -2 & 1 \end{pmatrix} = 0
\]

To solve, we can rewrite this as:
\[
\begin{pmatrix} 2x & x \\ x & -3 \end{pmatrix} = \begin{pmatrix} -3 & 4 \\ -2 & 1 \end{pmatrix}
\]

Equate corresponding elements:
1. \( 2x = -3 \)
2. \( x = 4 \)
3. \( x = -2 \)
4. \( -3 = 1 \) (inconsistent)

From these, we can see that there is inconsistency, so we’ll re-evaluate based on additional matrix operations if needed.

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### Problem 2
\[
\begin{pmatrix} x+1 & 4 \\ 2x & x \end{pmatrix} = \begin{pmatrix} 6 & -6 \\ 5 & x \end{pmatrix}
\]

Tentukan nilai x pada persamaan berikut ini:

1. \( \begin{pmatrix} 2x & x \\ x & -3 \end{pmatrix} - \begin{pmatrix} -3 & 4 \\ -2 & 1 \end{pmatrix} = 0 \)
2. \( \begin{pmatrix} x+1 & 4 \\ 2x & x \end{pmatrix} = \begin{pmatrix} 6 & -6 \\ 5 & x \end{pmatrix} \)
3. \( \begin{pmatrix} 3x & 2 \\ x & 1 \end{pmatrix} = -7x - 4 \)

Learn how to solve matrix equations to determine the value of x. This step-by-step guide explains how to use matrix equality and algebraic techniques to find solutions for x in each matrix equation. Ideal for high school students in Grades 10-12.

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