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?

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UpStudy AI · Accepted Answer

To set up a system of equations based on the given problem, we can define two variables:

- Let $$ x $$ be the smaller number.
- Let $$ y $$ be the larger number.

From the problem, we have the following conditions:

1. The sum of the two numbers is 105:
   $$
   x + y = 105
   $$

2. The larger number is 6 less than twice the smaller number:
   $$
   y = 2x - 6
   $$

Thus, the system of equations that can be used to find the two numbers is:

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

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?

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