Solve :
` 2x+ 7y =11 `
` 5x + (35)/(2) y = 25`

Answer

To solve the equations:

1. **Given equations:**
- \( 2x + 7y = 11 \) (Equation 1)
- \( 5x + \frac{35}{2}y = 25 \) (Equation 2)

2. **Rearranging Equation 1 for \( x \):**
- Start with Equation 1:
\[ 2x + 7y = 11 \]
- Isolate \( 2x \):
\[ 2x = 11 - 7y \]
- Divide by 2 to solve for \( x \):
\[ x = \frac{11 - 7y}{2} \]
- Let's label this as Equation 3.

3. **Substituting Equation 3 into Equation 2:**
- Substitute \( x \) from Equation 3 into Equation 2:
\[ 5\left(\frac{11 - 7y}{2}\right) + \frac{35}{2}y = 25 \]
- Distributing \( 5 \):
\[ \frac{55 - 35y}{2} + \frac{35}{2}y = 25 \]

4. **Combining the terms:**
- Combine the \( y \) terms:
\[ \frac{55 - 35y + 35y}{2} = 25 \]
- The \( -35y \) and \( +35y \) cancel out:
\[ \frac{55}{2} = 25 \]

5. **Clearing the fraction:**
- Multiply both sides by 2 to eliminate the fraction:
\[ 55 = 50 \]
- This is a contradiction, indicating that there is no solution.

6. **Conclusion:**
- The system of equations is inconsistent, meaning there are no values of \( x \) and \( y \) that satisfy both equations simultaneously.