The equation you've provided is a linear equation in two variables. To make it more useful, you can express it in slope-intercept form (y = mx + b) or find solutions for specific values of x or y.
Let's solve for y:
Starting with the equation: \[ 3x + 11y = -5 \]
We can isolate \( y \) by subtracting \( 3x \) from both sides: \[ 11y = -3x - 5 \]
Now, divide every term by 11: \[ y = -\frac{3}{11}x - \frac{5}{11} \]
This is the slope-intercept form where:
- The slope (m) is \( -\frac{3}{11} \)
- The y-intercept (b) is \( -\frac{5}{11} \)
If you'd like, you can also find specific solutions by substituting values for \( x \) or \( y \). Let me know if you need further assistance!