Question

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?

Answer 1

Answer:

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