SOLUTION: I really need some help, my daughter has been trying to solve this problem for 2 days. One number is 4 less than 5 times another. If the sum is 26, what are the two numbers?

Question 214067: I really need some help, my daughter has been trying to solve this problem for 2 days.
One number is 4 less than 5 times another. If the sum is 26, what are the two numbers?
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!
This is a problem of 2 equations with two unknowns.
Let x be one number
Let y be the other number
From the information given, you can write:
Equation #1:
and:
Equation #2:
----------------
Substitute the expression for x from Equation #1 into Equation #2:

Solve for y:

-----------------
Substitute this value for y into Equation #2:

Solve for x:

-----------------
Check these answers by substituting the values we got for x and y back into each equation and be sure the equation holds true.

<--- True!
-----------------

<--- True Again!
================
Good Luck,
tutor_paul@yahoo.com

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