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Chapter 2: Problem 17

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Nine times a number is 30 more than three times that number. Find the number.

Short Answer

Expert verified
The number represented by 'x' is 5.

Step by step solution

01

Formulate the Equation

Translate the given condition into an algebraic equation. The condition states 'Nine times a number is 30 more than three times that number.' This translates into the equation '9x = 3x + 30' where \(x\) represents the unknown number.
02

Simplify the Equation

Subtract '3x' from both sides to isolate 'x' terms on one side. This simplifies the equation to '6x = 30'.
03

Solve for 'x'

Divide both sides of the equation by '6' to solve for 'x'. This results in 'x = 5'.

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