The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x represent the larger number and y represent the smaller number. Which equations represent this situation? y = negative x. y = three-halves x minus 5. y = x. y = three-halves x minus 5. y = x. y = two-thirds x + StartFraction 10 Over 3 EndFraction. y = negative x. y = two-thirds x + StartFraction 10 Over 3 EndFraction

y = negative x.

y = three-halves x minus 5

Step-by-step explanation:

Let y and x be the numbers and let x be the bigger number and let y be the smaller number.

From the question,

The sum of the two numbers is equal to zero. This is written as

x + y = 0

y = 0 — x

y = — x

Twice the smaller number is written as: 2y

Three times the bigger number is written as: 3x

But we were told that twice the smaller number subtracted from 3 times the larger number is 10. This is illustrated below:

3x — 2y = 10

Make y the subject, we have

3x — 10 = 2y

Divide both side 2

y = (3x — 10)/2

y = 3x/2 — 5.

The expression are

y = — x

y = 3x/2 — 5.