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



Answer :

The equations that represent the given situation, where four times a number added to 3 times a larger number is 31 and seven subtracted from the larger number is equal to twice the smaller number, are y + 3x = 31 and y - 7 = 2x.

Given:

The result of multiplying an integer by itself three times is 31.

When seven is removed from a greater number, the smaller number is multiplied by two.

Let x stand for the lower value and y for the higher number.

To solve:

Equations that represent this situation

Solution:

The equations that represent this situation are y + 3x = 31 and y - 7 = 2x.

We can see that the first equation states that the larger number (y) plus three times the smaller number (3x) equals 31. The second equation states that the larger number (y) minus seven (7) equals twice the smaller number (2x). Therefore, these equations represent the given situation.

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