Question

Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number.

Six times a number is 36 more than two times that number. Find the number.
Write the equation in x that translates, or models, the conditions of the problem.
(Do not simplify. Use integers or fractions for any numbers in the equation.)
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Answer 1

To solve this problem, we can write the equation 6x = 2x + 36, where x represents the number. By solving for x, we find that the number is 9.

Step-by-step explanation:

To write the equation that models the given conditions, let's break it down: 1. 'Six times a number' can be represented as 6x, where x is the number. 2. '36 more than two times that number' can be represented as 2x + 36. Putting it together, we have the equation 6x = 2x + 36.

To solve the equation: 1. Subtract 2x from both sides to isolate the x terms: 6x - 2x = 2x + 36 - 2x, which simplifies to 4x = 36. 2. Divide both sides by 4 to solve for x: x = 36 / 4, which simplifies to x = 9.

Therefore, the number represented by x is 9.

Learn more about Equations and solving for unknown variables