the difference of twice the smaller integer and 7 times a larger is 4. when 5 times the larger integer is subtracted from 3 times the smaller, the result is -5 find marks the number​

Answer 1

a = larger number

b = smaller number

The difference of twice the smaller integer and 7 times a larger is 4 means:

2 b - 7 a = 4

When 5 times the larger integer is subtracted from 3 times the smaller, the result is - 5 means:

3 b - 5 a = - 5

Now you must solve system of two equation:

2 b - 7 a = 4

3 b - 5 a = - 5

The solutios are:

a = - 2 , b = - 5

larger number = - 2

smaller number = - 5