Question

Write a system of linear equations based on the verbal descriptions.

equation 1: The sum of 4 and x is equal to 17 times y.
equation 2: The difference between y and 7 is equal to the sum of 3 and x.
(1 point)
Responses

{17+x=4y3y=−7x
enlarged left brace start layout first row 17 plus x equals 4 y second row 3 y equals negative 7 x end layout

{4x=17+y−7y=3x
enlarged left brace start layout first row 4 x equals 17 plus y second row negative 7 y equals 3 x end layout

{4+x=17yy−7=3+x
enlarged left brace start layout first row 4 plus x equals 17 y second row y minus 7 equals 3 plus x end layout

{4+xy=17y−7=3x

Answer 1

Based on the verbal descriptions provided, the system of linear equations can be formulated as follows:

1. The sum of 4 and \( x \) is equal to 17 times \( y \):
\[
4 + x = 17y
\]

2. The difference between \( y \) and 7 is equal to the sum of 3 and \( x \):
\[
y - 7 = 3 + x
\]

Thus, the correct response that matches these equations is:
\[
\begin{cases}
4 + x = 17y \\
y - 7 = 3 + x
\end{cases}
\]

This matches the choice that looks like:
\{4+x=17y, y−7=3+x\}

The closest response from your options is:
\{4+x=17y, y−7=3+x\}