To translate the verbal descriptions into a system of linear equations, we can frame them as follows:
-
For the first description: "The sum of 4 and x is equal to 17 times y." This translates to the equation:
\( 4 + x = 17y \) -
For the second description: "The difference between y and 7 is equal to the sum of 3 and x." This translates to the equation:
\( y - 7 = 3 + x \)
Therefore, the system of linear equations is:
\[ \begin{aligned}
- & \quad 4 + x = 17y \
- & \quad y - 7 = 3 + x \end{aligned} \]
Now, matching this to the potential responses, the correct one is:
{4+x=17y, y−7=3+x}