Final answer:
To find the value of x when y = 35, use the concept of direct variation. Substitute the given values into the equation y = kx to solve for the constant of variation.
Step-by-step explanation:
To find the value of x when y = 35, we can use the concept of direct variation. In direct variation, when one variable increases, the other variable also increases or decreases by a constant factor. In this case, we are given that y varies directly with x. We can write this as y = kx, where k is the constant of variation.
Using the given information, we can form an equation to solve for k. When x = -2, y = -5. Substituting these values into the equation gives us -5 = k(-2). Solving for k, we get k = -5/-2 = 2.5.
Now that we know the value of k, we can use it to find the value of x when y = 35. Substituting these values into the equation gives us 35 = 2.5x. Solving for x, we get x = 35/2.5 = 14.