SOLUTION: One number is seven more than a second number. Five times the first is 11 less than 4 times the second. Find the numbers

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Question 105186: One number is seven more than a second number. Five times the first is 11 less than 4 times the second. Find the numbers
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
:
Let x = the second number
:
One number is seven more than a second number.
(x+7) = first number
:
"Five times the first is 11 less than 4 times the second. Find the numbers"
5(x+7) = 4x - 11
5x + 35 = 4x - 11
5x - 4x = -11 - 35
x = -46 is the second number
:
-46 + 7 = -39 is the 1st number
:
:
Check solution in the statement:
" Five times the first is 11 less than 4 times the second."
5(-39) = 4(-46) - 11
-195 = -184 - 11; confirms our solution