the two numbers are -7 and 26.
Let's call the first number "x" and the second number "y".
We're given that "twice a number and another number is five", which can be translated as:
2x + y = 5
We're also given that "the sum of two numbers is 19", which can be translated as:
x + y = 19
We now have two equations with two variables. We can solve for one variable in terms of the other, and then substitute that expression into the other equation to solve for the remaining variable.
Let's solve the second equation for "x":
x + y = 19
x = 19 - y
Now we can substitute this expression for "x" into the first equation:
2x + y = 5
2(19 - y) + y = 5
38 - 2y + y = 5
38 - y = 5
y = 33
Now we can use either equation to solve for "x":
x + y = 19
x + 33 = 19
x = -14
Therefore, the two numbers are -14 and 33.