Answer:
x = 26 and y = 17
Step-by-step explanation:
x is the larger number and y is the smaller number
the difference is 9 ⇒ x - y = 9
Five times the smaller is 7 more than 3 times the larger ⇒ 5y - 3x = 7
x - y = 9 ⇒ x = 9 + y (1)
substitute x = 9 + y in 5y - 3x = 7
5y - 3(9 + y) = 7
5y - 27 - 3y = 7
2y = 7 + 27
2y = 34
y = 34/2
y = 17
x = 9 + 17
x = 26
