Answer: The inverse of the equation y + 3x = -1 is x = (-y - 1)/3.
Explanation:
To find the inverse of the equation y + 3x = -1, we need to solve for x in terms of y. Let's go through the steps:
1. Start with the original equation: y + 3x = -1.
2. Subtract y from both sides of the equation to isolate the x term: 3x = -y - 1.
3. Divide both sides of the equation by 3 to solve for x: x = (-y - 1)/3.
Therefore, the inverse of the equation y + 3x = -1 is x = (-y - 1)/3.
Please note that in the inverse equation, the roles of x and y are switched. The inverse equation allows us to find the x-value in terms of y, instead of the y-value in terms of x as in the original equation.