<PRE><B>Question 1141946</B>
a is the first number.
b is the second number.


a + b = 49


b - 2a = 7


solve for b in the second equation to get b = 2a + 7


replace b with 2a + 7 in the first equation to get a + 2a + 7 = 49


combine like terms to get 3a + 7 = 49


subtract 7 from both sides of the equation to get 3a = 42


solve for a to get a = 14


since a + b = 49, then b must be equal to 35.


a + b = 49 becomes 14 + 35 = 49 which becomes 49 = 49 which is true.


b - 2a = 7 becomes 35 - 2 * 14 = 7 which becomes 35 - 28 = 7 which becomes 7 = 7 which is true.


solution looks good.


solution is the first number = 14 and the second number = 35.


</PRE>