math question has to be done with substitution !

Question

the difference of two numbers is 13. five times the smaller number is one more then double the larger number. find the numbers

Answer 1

x-y = 13

5y = 2x+1

Solves the first equation for x:

x = y+13

substitutes:

5y = 2(y+13)+1

5y = 2y + 26 + 1

5y = 2y + 27

3y = 27

y = 9

x = y+13 = 9+13 = 22

9 and 22