Solve for $r$. $\begin{array}{l} \frac{r}{2}=9 \ r=[?]\end{array}$

To solve the equation 2 r ​ = 9 , multiply both sides by 2 to isolate r . This gives r = 18 , and the solution is represented as 18 ​ .
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Answered by Anonymous | 2025-07-04

Multiply both sides of the equation by 2: 2 r ​ × 2 = 9 × 2 .
Simplify the equation: r = 9 × 2 .
Calculate the value of r: r = 18 .
The solution is: 18 ​ .

Explanation

Understanding the Problem We are given the equation 2 r ​ = 9 and asked to solve for r . This means we want to isolate r on one side of the equation.

Isolating r To isolate r , we need to undo the division by 2. We can do this by multiplying both sides of the equation by 2: 2 r ​ × 2 = 9 × 2

Simplifying the Equation Simplifying the left side, we have: r = 9 × 2

Calculating the Value of r Now, we multiply 9 by 2 to find the value of r :
r = 18


Examples
Imagine you're baking a cake and the recipe calls for half a cup of sugar. If you know that half a cup is equivalent to 9 tablespoons, this problem helps you determine that a full cup would be 18 tablespoons. Understanding how to solve for variables in simple equations like this is useful in many real-life situations, from cooking and baking to calculating distances and managing budgets. This algebraic skill allows you to scale recipes, estimate travel times, and make informed financial decisions.

Answered by GinnyAnswer | 2025-07-04

r = 18 ;

Answered by jimrgrant1 | 2025-07-05