Answer

Verified

387.6k+ views

**Hint:**To find the value of r, just isolate the terms with respect to the variable asked i.e., here in this question we need to add both sides of the expression by \[r\]and hence by solving this we can get the expression of r.

**Complete step by step answer:**

The given expression is

\[p - r = r\]

As we need to solve for r, hence rewriting the given expression as

\[r = p - r\]

Now add both sides of the expression by \[r\] as

\[r + r = p - r + r\]

The obtained expression consists of common terms i.e., -r and +r is common and implies to zero, hence by simplifying the terms we get

\[r + r = p\]

\[2r = p\]

Divide the expression by 2, to get the term r as

\[\dfrac{{2r}}{2} = \dfrac{p}{2}\]

Hence, the expression implies to

\[r = \dfrac{p}{2}\]

**Therefore, the expression of r is \[r = \dfrac{p}{2}\]**

**Additional information:**We have 4 ways of solving one-step equations: Adding, Subtracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.

**Note:**The key point to find the value of variable asked is Isolate r on one side of the algebraic equation by subtracting the sum that appears on the same side of the equation as the r and that equals sign verifies the condition that the inherent value on the left is the same as the inherent value on the right. So, what you do to one side you also have to do to the right. Otherwise, one side is not the same value as the other.

Recently Updated Pages

What number is 20 of 400 class 8 maths CBSE

Which one of the following numbers is completely divisible class 8 maths CBSE

What number is 78 of 50 A 32 B 35 C 36 D 39 E 41 class 8 maths CBSE

How many integers are there between 10 and 2 and how class 8 maths CBSE

The 3 is what percent of 12 class 8 maths CBSE

Find the circumference of the circle having radius class 8 maths CBSE

Trending doubts

One cusec is equal to how many liters class 8 maths CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Which are the Top 10 Largest Countries of the World?

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Difference Between Plant Cell and Animal Cell

Change the following sentences into negative and interrogative class 10 english CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE