Find the values o x and y if:
`(3x-1,2y-7)=(9,-9)`

Answer

To find the values of \( x \) and \( y \) from the equation \( (3x-1, 2y-7) = (9, -9) \), we can set up the following equations based on the equality of the coordinates:

1. **Set up the equations:**
\[ 3x - 1 = 9 \quad \text{(1)} \]
\[ 2y - 7 = -9 \quad \text{(2)} \]

2. **Solve for \( x \):**
From equation (1):
\[ 3x - 1 = 9 \]
Add 1 to both sides:
\[ 3x = 9 + 1 \]
\[ 3x = 10 \]
Now, divide both sides by 3:
\[ x = \frac{10}{3} \]

3. **Solve for \( y \):**
From equation (2):
\[ 2y - 7 = -9 \]
Add 7 to both sides:
\[ 2y = -9 + 7 \]
\[ 2y = -2 \]
Now, divide both sides by 2:
\[ y = \frac{-2}{2} = -1 \]

4. **Final values:**
The values of \( x \) and \( y \) are:
\[ x = \frac{10}{3}, \quad y = -1 \]

### Summary of the solution:
The values of \( x \) and \( y \) are \( \frac{10}{3} \) and \( -1 \) respectively.