Question

-48x + 8y = 16. Solve the equation for y.

Answer 1

To solve -48x + 8y = 16 for y, add 48x to both sides and then divide by 8, resulting in y = 2 + 6x.

Step-by-step explanation:

To solve the equation -48x + 8y = 16 for y, we need to isolate y on one side of the equation. Here are the steps to do so:

1. Add 48x to both sides of the equation: -48x + 8y + 48x = 16 + 48x, which simplifies to 8y = 16 + 48x.
2. Divide both sides of the equation by 8 to solve for y: 8y/8 = (16 + 48x)/8.
3. This gives us the final solution: y = 2 + 6x.

Now we have expressed y in terms of x, which allows us to determine the value of y for any given value of x.