SOLUTION: The difference of two numbers is 86. The second is 6 less than 5 times the first. What are the two numbers?
Algebra.Com
Question 112068: The difference of two numbers is 86. The second is 6 less than 5 times the first. What are the two numbers?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system
Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.
Distribute
Combine like terms on the left side
Add 6 to both sides
Combine like terms on the right side
Divide both sides by 4 to isolate x
Divide
Now that we know that , we can plug this into to find
Substitute for each
Simplify
So our answer is and
RELATED QUESTIONS
The difference of two numbers is 86. The second is 6 less than 5 times the first. What... (answered by jim_thompson5910,BrittanyM)
The difference of two numbers (the second minus the first) is 48. The second is 8 less... (answered by jim_thompson5910)
The difference of two numbers is 91. The second is 5 less than 5 times the first. What... (answered by stanbon)
The difference of two numbers is 91 The second is 5 less than 5 times the first What are... (answered by checkley71)
Please help me solve this please
The difference of two numbers is 91. The second is 5... (answered by ankor@dixie-net.com)
The difference of two numbers is 91. The second is 5 less than 5 times the first. What... (answered by ptaylor)
The difference of two numbers is 91. The second is 5 less than 5 times the first. What... (answered by ptaylor)
The difference of two numbers is 91. The second is 5 less than 5 times the first. What... (answered by checkley71)
The difference of two numbers is 91. THe second is 5 less than 5 times the first. What (answered by Earlsdon,checkley71)