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Set up a system. YOU DO NOT NEED TO SOLVE IT! 9. The sum of two numbers is 105 . The larger number is 6 less than twice the smaller number. What system could you use to find the two numbers?

Ask by Daniel Hobbs. in the United States
Mar 17,2025

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Answer

To find the two numbers, set up the following system of equations: \[ \begin{cases} x + y = 105 \\ y = 2x - 6 \end{cases} \]

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Mind Expander

Let's define the two numbers as \( x \) (the larger number) and \( y \) (the smaller number). You can set up the following system of equations: 1. \( x + y = 105 \) 2. \( x = 2y - 6 \) This system represents the relationships described in your problem and can be used to find the values of \( x \) and \( y \) when you decide to solve it!

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