You can
put this solution on YOUR website!Let x= " a number"
Let y = "another number"
:
Write an equation for what it says (the word "is" usually means =:
:
"one number is 2 more then 5 times another number" their sum is 24."
x = 5y + 2
:
"their sum is 24"
x + y = 24
x = (24-y); this form for substitution
:
what are the numbers?
:
Substitute (24-y) for x in the 1st equation
24 - y = 5y + 2
:
24 - 2 = 5y + y
:
22 = 6y
y =

=

y = 3

:
Find x
x = 5y + 2
x = 5(

) + 2
x =

+ 2
x = 18

+ 2
x = 20

:
:
Check by finding the sum:
20

+ 3

= 24