Question
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
Upstudy AI Solution
Tutor-Verified Answer
Answer
To find the two numbers, set up the following system of equations:
\[
\begin{cases}
x + y = 105 \\
y = 2x - 6
\end{cases}
\]
Solution
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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!
