If y varies directly with x, it means that there is a constant ratio between y and x. We can use this information to solve for the value of x when y is 35.
Given that y is 14 when x is 2, we can set up a proportion:
y1 / x1 = y2 / x2
Substituting the given values:
14 / 2 = 35 / x2
Cross-multiplying:
14 * x2 = 2 * 35
Simplifying:
14x2 = 70
Dividing both sides by 14:
x2 = 5
Therefore, the value of x when y is 35 is x = 5.