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The values of x and y vary directlyand one pair of values are given.Write an equation that relates xand y.x = 2, y = 5·?y =X

The values of x and y vary directlyand one pair of values are given.Write an equation-example-1
User Probocop
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1 Answer

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We need to write an equation that relates x and y.

We know those values vary directly. And one pair of values are given. Thus, we have the following proportion:

values of x values of y

2 5

x y

Then, cross multiplying the above quantities, we obtain:


2\cdot y=5\cdot x

Now, we need to isolate y on the left side of the equation. We can do so by dividing both sides of the equation by 2. We obtain:


\begin{gathered} (2)/(2)\cdot y=(5)/(2)\cdot x \\ \\ 1\cdot y=(5)/(2)x \\ \\ y=(5)/(2)x \end{gathered}

Answer


y=(5)/(2)x