The difference between 2 number is 5 and twice the smaller number is 18 more than the larger number. Find the number

X is larger number

y is smaller number

x-y=5

2y=x+18

1.) Find formula for x

2y = x + 18 | - 18

2y - 18 = x

2.) Find the value of y

x-y = 5 | plug in the formula for x

2y-18 - y = 5 | combine like terms

y - 18 = 5 | + 18

23 = y

3.) Find the value of x

2y = x + 18 | Plug in the value of y

2 (23) = x + 18 | Distribute

46 = x + 18 | - 18

28 = x