To solve the literal equation 5y + 8x = -5 for y, we need to isolate y on one side of the equation.
Here's how we can do it step by step:
Step 1: Start with the given equation: 5y + 8x = -5.
Step 2: Subtract 8x from both sides of the equation to get rid of the term containing x. This gives us: 5y = -5 - 8x.
Step 3: Simplify the right side of the equation: 5y = -8x - 5.
Step 4: Divide both sides of the equation by 5 to solve for y. This gives us: y = (-8x - 5) / 5.
So, the solution to the literal equation 5y + 8x = -5 for y is y = (-8x - 5) / 5.
Let's take an example to better understand how to use this equation. If we have the value of x as 3, we can substitute it into the equation to find the corresponding value of y:
y = (-8(3) - 5) / 5.
y = (-24 - 5) / 5.
y = -29 / 5.
Therefore, when x is 3, y is equal to -29/5.
Remember, this is the general solution, and the values of x and y can vary depending on the specific values given in the equation.