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

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Question 188064: one number is four more than a second number. two times the first number is four more than four times the second number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = "one number"
Let y = "a 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
:
:
Check solution in 2nd statement:
"two times the first number is four more than four times the second number"
2(6) = 4(2) = 4