Afirst number plus twice a second number is 1. twice the first number plus the second totals 14. find the numbers

Let's consider the first number to be and the second number to be . Based on the information in the problem, we can create the following equations:

Now, we can solve the equations through systems of equations. One way of doing this is by multiplying one of the equations so that there is a term in both equations which can be removed by addition or subtraction. In our case, we can multiply the entire first equation by 2 to get:

Now, subtract from both equations to get:

Now that we have found , "plug" it back into an equation to find :

Our answers are s = -4 and f = 9.