Question 1057966
 Two numbers a & b
:
Write an equation for each statement
:
The sum of two numbers is 35.
a + b = 35
a = 35 - b; use this form for substitution
:
 If the larger is doubled and the smaller is tripled, the difference is 5.
2a - 3b = 5
Replace a with (35-b)
2(35 - b) - 3b = 5

70 - 2b - 3b = 5
-5b = 5 - 70
-5b = -65
b = -65/-5
b = +13
then
a = 35 - 13
a = 22 
:
See if that checks out in the 2nd equation
2(22) - 3(13) =
44 - 39 = 0
:
 find the numbers? 22 & 13