x is a partly constant and partly varies with y when y =3, x=7 and when y=6, x=9, find the relationship between x and y.Hence find x when y=4. solution?.

Thank you

x is a partly constant and partly varies with y: x = ay+b

Now just plug in your numbers and solve for a&b:
3a+b = 7
6a+b = 9
Once you know a and b, you can find x when y=4

Mathematics solving

I need the answer of the first question

(2√2 +3√45)

To find the relationship between x and y, we can use the given data points where y takes on different values and corresponding values of x. In this case, we have two data points: (y=3, x=7) and (y=6, x=9).

Let's first determine the change in x and y between the two data points:
Change in x = x₂ - x₁ = 9 - 7 = 2
Change in y = y₂ - y₁ = 6 - 3 = 3

Now, we can calculate the ratio of the change in x to the change in y:
Ratio = (Change in x) / (Change in y) = 2 / 3

This ratio represents the relationship between x and y in this scenario. Therefore, we can express it as an equation:
x = (2/3) * y

Now, we can substitute the given value of y = 4 into the equation to find the corresponding value of x:
x = (2/3) * 4
x = 8/3 or approximately 2.67

Therefore, when y = 4, x ≈ 2.67.