On which side of y -axis x+3=0 lies

Answer

To determine on which side of the y-axis the equation \( x + 3 = 0 \) lies, we can follow these steps:

### Step 1: Rewrite the equation
Start with the given equation:
\[ x + 3 = 0 \]
We need to isolate \( x \).

### Step 2: Solve for \( x \)
Subtract 3 from both sides to solve for \( x \):
\[ x = -3 \]

### Step 3: Analyze the value of \( x \)
The value we found is \( x = -3 \). This tells us the position of the line on the x-axis.

### Step 4: Determine the side of the y-axis
On the Cartesian coordinate system:
- The y-axis divides the plane into two halves.
- The left side of the y-axis corresponds to negative values of \( x \) (i.e., \( x < 0 \)).
- The right side corresponds to positive values of \( x \) (i.e., \( x > 0 \)).

Since \( x = -3 \) is a negative value, it lies on the left side of the y-axis.

### Conclusion
Thus, the equation \( x + 3 = 0 \) lies on the left side of the y-axis.

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