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.

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

y = 2 x + 7

Step-by-step explanation:

Let x represent the smaller number and y represent the larger number.

Four times a number added to 3 times a larger number is 31.

It is translated as:

Then, solving for y:

    ⇒  y= - 4/3x + 31/3

Correct answer choice for this equation:

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

Seven subtracted from the larger number is equal to twice the smaller number.

It is translated as:

Then, solving for y:

Correct answer choice for this equation:

y = 2 x + 7

It's A.

Step-by-step explanation:

I just got it correct on my unit test review.