Answer:
The numbers are 10 and -2.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
The first number is x
The second number is y.
A first number plus twice the second number is 8.
This means that:
[tex]x + 2y = 8[/tex], that is, [tex]x = 8 - 2y[/tex]
Twice the first number plus the second totals 19
So
[tex]2x + y = 19[/tex]
Since [tex]x = 8 - 2y[/tex]
[tex]2(8 - 2y) + y = 19[/tex]
[tex]16 - 4y + y = 19[/tex]
[tex]-3y = 3[/tex]
[tex]y = -\frac{3}{3}[/tex]
[tex]y = -1[/tex]
[tex]x = 8 - 2y = 8 - 2(-1) = 8 + 2 = 10[/tex]
The numbers are 10 and -2.
