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The system of linear equations given is:

\[
2x + 3y = 16
\]
\[
3x + 5y = 25
\]

Let's solve this system using the substitution or elimination method to find the solution set \((x, y)\).

### Step 1: Multiply both equations to align the coefficients of \(x\) or \(y\)
We'll eliminate \(x\) by multiplying the first equation by 3 and the second equation by 2 to match the coefficients of \(x\):

\[
6x + 9y = 48
\]
\[
6x + 10y = 50
\]

### Step 2: Subtract the equations
Now, subtract the second equation from the first:

\[
(6x + 9y) - (6x + 10y) = 48 - 50
\]

This simplifies to:

\[
- y = -2
\]

Thus, \(y = 2\).

### Step 3: Substitute \(y = 2\) back into one of the original equations
Substitute \(y = 2\) into the first equation:

\[
2x + 3(2) = 16
\]
\[
2x + 6 = 16
\]
\[
2x = 10
\]
\[
x = 5
\]

### Final Solution:
The solution is \(x = 5\) and \(y = 2\), which corresponds to option (d).

The correct answer is **D (5 dan 2)**.

Would you like further explanation on any step? 

Here are 5 related questions to expand your understanding:
1. How do you solve systems of linear equations using the substitution method?
2. What is the geometric interpretation of solving two linear equations?
3. Can all systems of linear equations be solved using elimination?
4. What happens if two equations in a system are parallel?
5. How can we verify the solution of a system of equations?

**Tip**: Always check your solution by substituting the values back into the original equations to ensure accuracy.

Diketahui sebuah sistem persamaan linear 2x + 3y = 16 dan 3x + 5y = 25. Himpunan penyelesaian dari sistem persamaan tersebut adalah …

This problem solves the system of linear equations 2x + 3y = 16 and 3x + 5y = 25 using the elimination method. Learn the step-by-step process to find the solution set, which is (x, y) = (5, 2).

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