Use the graphical method to show that the straight lines given by the equations `x+y=2, x-2y=5 and x/3+y=0` pass through the same point.

Answer

To show that the straight lines given by the equations \( x + y = 2 \), \( x - 2y = 5 \), and \( \frac{x}{3} + y = 0 \) pass through the same point using the graphical method, we will follow these steps:

### Step 1: Rearranging the equations
We will rearrange each equation to express \( y \) in terms of \( x \).

1. **For the first equation \( x + y = 2 \)**:
\[ y = 2 - x \]

2. **For the second equation \( x - 2y = 5 \)**:
\[ 2y = x - 5 \implies y = \frac{x - 5}{2} \]

3. **For the third equation \( \frac{x}{3} + y = 0 \)**:
\[ y = -\frac{x}{3} \]