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In Mathematics / College | 2025-07-07

Select the best answer for the question.

Solve for [tex]$x$[/tex] in the equation [tex]$x / 2=17$[/tex].

A. [tex]$x=8.5$[/tex]
B. [tex]$x=15$[/tex]
C. [tex]$x=34$[/tex]
D. [tex]$x=19$[/tex]

Asked by swannswife

Answer (1)

Multiply both sides of the equation x /2 = 17 by 2.
Simplify the left side of the equation: 2 x ​ × 2 = x .
Calculate the right side of the equation: 17 × 2 = 34 .
The solution is x = 34 ​ .

Explanation

Understanding the Problem We are given the equation x /2 = 17 and asked to solve for x . This means we need to isolate x on one side of the equation.

Isolating x To isolate x , we can multiply both sides of the equation by 2. This gives us: 2 x ​ × 2 = 17 × 2

Solving for x Simplifying the equation, we get: x = 34

Final Answer Therefore, the solution is x = 34 . Looking at the multiple-choice options, we see that option C is the correct answer.


Examples
Imagine you're baking a cake and the recipe calls for half a cup of sugar, but you want to make two cakes. To find out how much sugar you need in total, you would solve the equation x /2 = 1 , where x is the total amount of sugar needed. Multiplying both sides by 2, you find that x = 2 cups of sugar are needed. This simple algebraic equation helps in scaling recipes and understanding proportions in cooking.

Answered by GinnyAnswer | 2025-07-08

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