SOLUTION: The difference of two nbers is 5. Five times the lesser number is 9 greater than the greater number. What are the numbers?

Algebra.Com
Question 822237: The difference of two nbers is 5. Five times the lesser number is 9 greater than the greater number. What are the numbers?
Found 2 solutions by TimothyLamb, stanbon:
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
---
y - x = 5
5x = y + 9
---
put the system of linear equations into standard form
---
-x + y = 5
5x - y = 9
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
answer:
x= 3.5
y= 8.5
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
The difference of two nbers is 5. Five times the lesser number is 9 greater than the greater number. What are the numbers?
---------------------
Equations:
x - y = 5
5y = x+5
----------
Substitute for "x" and solve for "y"::
5y = y+5+5
-------
5y = y+10
4y = 10
y = 5/2
-------------
Solve for "x"
x - y = 5
x -(5/2) = 5
x = 5/2
-----------------
Cheers,
Stan H.
=============

RELATED QUESTIONS

the difference of 2 numbers is 5. 5 times the lesser number is 9 greater than the greater (answered by stanbon,ptaylor)
One number is 5 greater than a second number. If the lesser number is subtracted from 3... (answered by darq)
One number is five greater than another. If the sum of the lesser number and twice the... (answered by ikleyn)
When two numbers are added together, the result is 45. Twice the greater number is six... (answered by mananth)
The sum of two numbers is 78. If five times the lesser number is subtracted from four... (answered by jorel555)
The difference of two numbers is five sixth of their sum and the greater exceeds ten... (answered by tommyt3rd)
the greater of two numbers is 2 more than the lesser. the sum of 25 times the greater... (answered by cathieb1225)
The sum of two numbers is 38. The greater number is 5 more than twice the lesser number.... (answered by greenestamps,MathTherapy)