Question

Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smaller number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation?

y = negative four-thirds x + 31. y = 2 x + 7.
✔️y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = 2 x + 7.
y = negative four-thirds x + 31. y = negative 2 x + 7.
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = negative 2 x + 7.

Answer 1

Looks like the second choice

Explanation:

Four times a number is 4x

added to 3 times a larger number is 4x + 3y =31 <====given

this can be re-arranged to y = -4/3 x +31/3

seven subtracted from the larger number is y-7

and this equals 2x y-7 = 2x <=====given

is re-arranged to y = 2x+7