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: Solve the equation
Start with the equation:
\[ x + 3 = 0 \]
To find the value of \( x \), subtract 3 from both sides:
\[ x = -3 \]

### Step 2: Understand the coordinate system
In the Cartesian coordinate system, the y-axis is the vertical line where \( x = 0 \). The left side of the y-axis corresponds to negative values of \( x \) (i.e., \( x < 0 \)), and the right side corresponds to positive values of \( x \) (i.e., \( x > 0 \)).

### Step 3: Analyze the value of \( x \)
From Step 1, we found that:
\[ x = -3 \]
Since \(-3\) is a negative number, it indicates that this value lies on the left side of the y-axis.

### Step 4: Conclusion
Thus, the equation \( x + 3 = 0 \) or \( x = -3 \) lies on the left side of the y-axis.

### Final Answer
The equation \( x + 3 = 0 \) lies on the left side of the y-axis.

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