What if x varies directly as y, and x=35 when y=7, find x when y= 8?

Answer 1

When you are told that "y" varies directly with "x", it means y = kx where k is some number. To find "k" you can use algebra to solve for k by dividing both sides of y = kx by "x" giving you:

k = y/x

Now, plug in the values that were given to you for "x" and "y":

k = 7/35 and simplify the fraction (reduce it):

k = 1/5

So now you know what "k" is which makes the original equation y = (1/5)x

To get the final answer, plug in y = 8 and solve for x