2x +6y =-24
This is a linear equation that can be simplified by dividing through by 2. What else do you need to do with it?
To simplify the given linear equation 2x + 6y = -24, after dividing through by 2, you need to further simplify the equation by putting it in slope-intercept form (y = mx + b) or standard form (Ax + By = C).
1. Divide through the equation by 2, giving you: x + 3y = -12.
2. If you want to put the equation in slope-intercept form (y = mx + b), isolate the y-variable by subtracting x from both sides: 3y = -x - 12.
3. Divide through by 3, giving you: y = (-1/3)x - 4. The equation is now in slope-intercept form.
Alternatively, if you want to put the equation in standard form (Ax + By = C), rearrange the equation: x + 3y + 12 = 0.
So, to summarize, after dividing through by 2, either put the equation in slope-intercept form (y = mx + b) by isolating the y-variable, or put it in standard form (Ax + By = C).