A first number plus twice a second number is 11. Twice the first number plus the second totals 19 find the numbers

First is 8 then 3 ...

The first number is 8 and the second number is 3.

Step-by-step explanation:

Let the first and second numbers be represented by f and s.

Then f + s = 11. Also, 2f + s = 19. Find f and s.

Solving the first equation for s, we get s = 11 - f.

Substituting this 11 - f for s in the second equation, we get:

2f + 11 - f = 19

Combining like terms,

f = 8. Then s must be 3, since f + s = 11 = 8 + 3.

The first number is 8 and the second number is 3.