Question

Make the subject of
x − 8 = y

Answer 1

The equation 'x - 8 = y' already has y as the subject, making y the dependent variable and x the independent variable. If y were not isolated, the equation would need to be manipulated accordingly to make y the subject.

Step-by-step explanation:

To make the subject of the equation x - 8 = y, you want to solve for y. This equation is already in the desired form, with y as the subject or dependent variable on one side of the equation. If you were given a different equation where y is not already isolated, such as 7y = 6x + 8, 4y = 8, or y + 7 = 3x, you would manipulate the equation to solve for y. Typically, you choose a value to substitute for the independent variable x, and then solve for the dependent variable y.

In the context of our original equation, y depends on the value of x. This is similar to how the number of flu cases might depend on the year, making year the independent variable and the number of flu cases the dependent variable. In the equation y = 9 + 3x, you would construct a table by plugging in a series of different values for x, and then calculate the resulting value of y. These points are then plotted on a graph to represent the equation as a line.

Answer 2

To make x the subject of the equation x - 8 = y, we rearrange the equation by adding 8 to both sides. This results in x = y + 8.

Step-by-step explanation:

To make the subject of the equation x - 8 = y, we need to isolate x on one side of the equation. We can do this by rearranging the equation. Adding 8 to both sides of the equation, we get x = y + 8. Therefore, x is the subject of the equation.

Learn more about Rearranging equations