Question 373554:  a first number plus twice a second number is 22. Twice the first number plus the second totals to 23 
 Answer by robertb(5830)      (Show Source): 
You can  put this solution on YOUR website! let f = the first number, and s = the 2nd number. 
f + 2s = 22, 
2f + s = 23. 
From the first equation, f  = 22-2s.  Substitute into the 2nd equation: 
2(22-2s) + s = 23, 
44 - 4s +s = 23, 
-3s = -21, 
s = 7, the second number. 
f = 22-2s = 22 - 14 = 8, the first number. 
  | 
 
  
 
 |   
 
 |