The sum of two numbers is - 1. when twice the first number in four times the second number are added, it equals - 10. what are the two numbers?

3 and - 4

Step-by-step explanation:

First, you write out each statement as an equation:

x + y = - 1

2x + 4y = - 10

Next, rewrite one equation so only x is on one side of the equation, and plug it into the other equation, and solve for y:

x = - y - 1

2 (-y - 1) + 4y = - 10

-2y - 2 + 4y = - 10

2y = - 8

y = - 4

Plug the found value for y into the original equation and solve for x:

x + y = - 1

x - 4 = - 1

x = 3

Plug both values into the second equation to check your work:

2x + 4y = - 10

2 (3) + 4 (-4) = - 10

6 - 16 = - 10

-10 = - 10