Which system of equations is indicated by this description?

x increased by 3 is equal to the product of 2 and y.
5 times y is equal to negative x minus 10.
(1 point)
Responses

{x+3=2y5y=−x−10
{
𝑥
+
3
=
2
𝑦
5
𝑦
=

𝑥

10
enlarged left brace start layout first row x plus 3 equals 2 y second row 5 y equals negative x minus 10 end layout

{x+3=2y5y=x−10
{
𝑥
+
3
=
2
𝑦
5
𝑦
=
𝑥

10
enlarged left brace start layout first row x plus 3 equals 2 y second row 5 y equals x minus 10 end layout

{3x=2y5y=−x−10
{
3
𝑥
=
2
𝑦
5
𝑦
=

𝑥

10
enlarged left brace start layout first row 3x equals 2 y second row 5 y equals negative x minus 10 end layout

{x+3=2+y5y=−x−10

1 answer

Based on the description provided, the correct system of equations is:

  1. x increased by 3 is equal to the product of 2 and y: This can be written as: \[ x + 3 = 2y \]

  2. 5 times y is equal to negative x minus 10: This can be expressed as: \[ 5y = -x - 10 \]

Therefore, the correct system of equations is: \[ \begin{cases} x + 3 = 2y \ 5y = -x - 10 \end{cases} \]

From the given responses, the correct one is: \[ {x + 3 = 2y, \ 5y = -x - 10} \]