Question

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

{x+3=2+y5y=−x−10
enlarged left brace start layout first row x plus 3 equals 2 plus y second row 5 y equals negative x minus 10 end layout

{x+3=2y5y=−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

{3x=2y5y=−x−10

Answer 1

The correct system is
{x + 3 = 2y
5y = −x − 10}

Because "x increased by 3" → x + 3, "product of 2 and y" → 2y, and "5 times y" → 5y equals "negative x minus 10" → −x − 10.