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The image you've uploaded appears to be a math exam in the Albanian language with several problems covering topics such as solving equations, systems of equations, verifying trigonometric identities, and working with matrices. I'll break down a few problems and explain how to approach them:

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### Problem D.1:
You are given a system of linear equations:
\[
\frac{1}{3} \begin{pmatrix} -3a -3b \\ 3 \\ 6 \end{pmatrix} = \frac{1}{4} \begin{pmatrix} -2 \\ 6x -8y \end{pmatrix} = \begin{pmatrix} 8 \\ 10 \\ 12 \end{pmatrix}
\]
You need to find values for \(a, b, x, y\).

#### Approach:
- Convert the matrix expressions into separate linear equations.
- Solve for \(a, b, x, y\) using either substitution or elimination methods.

---

### Problem D.2:
Solve the quadratic equation:
\[
9 \cdot 16^x - 7 \cdot 12^x - 16 \cdot 9^x = 0
\]

#### Approach:
- Rewrite the expressions using a common base if possible.
- Factorize the equation or use substitution to simplify it.
- Solve for \(x\).

---

### Problem D.3:
Solve the system of non-linear equations:
\[
\begin{cases}
8^{2x-1} = 2^{x+7} \\
5^{y+1} = \sqrt{25^{2y-3}}
\end{cases}
\]

#### Approach:
- For the first equation, express both sides with base 2 and solve for \(x\).
- For the second equation, express both sides with base 5 and solve for \(y\).

---

### Problem D.5:
Verify the trigonometric identity:
\[
\sin \alpha + \left(\frac{1}{\sin \alpha}\right)^2 + \cos \alpha + \left(\frac{1}{\cos \alpha}\right)^2 = 7 + \tan^2 \alpha + \cot^2 \alpha
\]

#### Approach:
- Simplify both sides using known trigonometric identities (like \(\tan^2 \alpha + 1 = \sec^2 \alpha\)).
- Manipulate terms to show that both sides are equivalent.

---

### Problem D.10:
Solve the matrix equation:
\[
X + 2A = 3B + I
\]
where matrices \(A\) and \(B\) are given.

#### Approach:
- Rearrange the equation to solve for matrix \(X\).
- Perform matrix operations on the given matrices and identity matrix to find \(X\).

---

Would you like a detailed solution to any specific problem?

Here are some relative questions to think about:
1. How do you solve a system of equations involving matrices?
2. How do you verify trigonometric identities using basic formulas?
3. What are the steps for solving a quadratic equation with exponents?
4. What techniques are useful when solving non-linear systems?
5. How do you interpret and simplify complex numbers in equations?

**Tip:** When dealing with matrix equations, always ensure the matrices have the same dimensions and use matrix addition/subtraction carefully.

Math exam covering algebra, trigonometry, matrices, and complex numbers.

Detailed solutions for advanced math problems involving systems of equations, trigonometric identities, matrix operations, and complex numbers. Suitable for Grade 12 or university-level students.

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