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Let's solve the problems 23, 25, and 26 from the image you uploaded. Here are the details:

### Problem 23
**Given:**  
\[
\text{If } pz \times \frac{1}{3} = \frac{1}{2}, \text{ find the value of } p.
\]

**Solution:**  
First, isolate \( p \) in the equation:

\[
pz \times \frac{1}{3} = \frac{1}{2}
\]

Multiply both sides by 3 to eliminate the fraction:

\[
pz = \frac{3}{2}
\]

Now, divide both sides by \( z \) to solve for \( p \):

\[
p = \frac{3}{2z}
\]

So, the value of \( p \) is:

\[
p = \frac{3}{2z}
\]

---

### Problem 25
**Given:**
Solve the equation \( \frac{3}{x} - \frac{2}{y} + 2 = \frac{3}{y} - \frac{2}{x} + 1 \).

**Solution:**
We'll begin by simplifying and rearranging the terms:

\[
\frac{3}{x} - \frac{2}{y} + 2 = \frac{3}{y} - \frac{2}{x} + 1
\]

Subtract \( \frac{2}{y} \) from both sides:

\[
\frac{3}{x} + 2 = \frac{3}{y} - \frac{2}{x} + 1 + \frac{2}{y}
\]

Subtract 1 from both sides:

\[
\frac{3}{x} + 1 = \frac{3}{y} + \frac{2}{y} - \frac{2}{x}
\]

Combine like terms:

\[
\frac{3}{x} + \frac{2}{x} = \frac{3}{y} + \frac{2}{y} - 1
\]

Factor each side:

\[
\frac{5}{x} = \frac{5}{y} - 1
\]

Divide by 5 on both sides:

\[
\frac{1}{x} = \frac{1}{y} - \frac{1}{5}
\]

To find the value of \( x \) and \( y \), you'd need additional constraints or simplifications.

---

### Problem 26
**Given:**
Solve the equations:
1. \( \frac{3x}{4} = 11 \)
2. \( 3x + \frac{1}{2} = 5 \)

**Solution:**

For the first equation:
\[
\frac{3x}{4} = 11
\]

Multiply both sides by 4:
\[
3x = 44
\]

Now, divide by 3:
\[
x = \frac{44}{3} \approx 14.67
\]

For the second equation:
\[
3x + \frac{1}{2} = 5
\]

Subtract \( \frac{1}{2} \) from both sides:
\[
3x = 4.5
\]

Divide by 3:
\[
x = \frac{4.5}{3} = 1.5
\]

So, the solution is \( x = 1.5 \) for the second equation.

---

Would you like more details on any of these solutions or have any questions? Here are some related questions you might find interesting:

1. How would you solve the equation \( 2x + 3y = 7 \) for \( y \) in terms of \( x \)?
2. Can you find the value of \( x \) if \( \frac{5x}{6} = \frac{10}{3} \)?
3. What is the general form of solving linear equations with fractions?
4. How do you approach solving simultaneous equations involving fractions?
5. Can you convert a complex fraction equation into a simpler linear form?

**Tip:** When solving equations involving fractions, try to eliminate the fractions early by multiplying through by the denominator.

Explore detailed solutions to equations 23, 25, and 26 including fractions and algebraic techniques. Learn how to solve complex equations with clear step-by-step explanations. Suitable for high school students and anyone interested in algebra and equation solving.

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