To solve the systems of equations listed, we can use methods such as substitution or elimination. Here’s a brief outline of how to approach solving a few of them:

### Example 1:
**System:**
1. \( x - y = 3 \)
2. \( 3x - y = 6 \)

**Solution:**
From the first equation, express \( y \):
\[ y = x - 3 \]

Substitute \( y \) into the second equation:
\[ 3x - (x - 3) = 6 \]
\[ 3x - x + 3 = 6 \]
\[ 2x + 3 = 6 \]
\[ 2x = 3 \]
\[ x = \frac{3}{2} \]

Now substitute \( x \) back to find \( y \):
\[ y = \frac{3}{2} - 3 = -\frac{3}{2} \]

**Result:** \( x = \frac{3}{2}, y = -\frac{3}{2} \)

### Example 2:
**System:**
1. \( 3x - 4y = 2 \)
2. \( 2x + 3y = 4 \)

**Solution:**
Use elimination or substitution. For elimination, multiply the first equation by 3 and the second by 4 to align coefficients for \( y \):
\[ 9x - 12y = 6 \]
\[ 8x + 12y = 16 \]

Add the equations:
\[ 17x = 22 \]
\[ x = \frac{22}{17} \]

Substituting \( x \) back into one of the original equations to find \( y \):
\[ 3\left(\frac{22}{17}\right) - 4y = 2 \]
Solve for \( y \).

### Continue this process for the remaining systems:
You can apply the same methods to solve the other systems listed in your document. If you need specific solutions for any of the other equations, please let me know!