Answer:
small number = -3
large number = 12
Step-by-step explanation:
Suppose two numbers are x and y
smaller number = x
larger number = y
Given that,
The difference of two numbers is 15
Equation 1
y - x = 15
Five times the smaller is the same as 9 less than twice the larger.
Equation 2
5x = 9 - 2y
Solve them
-x = 15 - y
x = y -15
put value of x in equation 2
5(y - 15) = 9 - 2y
-75 + 5y = 9 - 2y
-75 - 9 = -2y - 5y
-84 = -7y
y = 84/7
y = 12
x = 12 - 15
x = -3
