one number is four more than a second number. two times the first number is 10 more than four times the second number

Write an equation for each statement:

:

"one number is four more than a second number."

x = y + 4

:

" two times the first number is four more than four times the second number"

2x = 4y + 4

;

From the 1st equation, substitute (y+4) for x in the above equation

2 (y + 4) = 4y + 4

2y + 8 = 4y + 4

8 - 4 = 4y - 2y

4 = 2y

y = 4%2F2

y = 2, the second number

and

x = 2 + 4

x = 6, a number