Answer:
[tex]\sf \text{The numbers are $\dfrac{-14}{3} $ and $\dfrac{-7}{3}$}[/tex]
Step-by-step explanation:
Let the numbers be x , y
Sum of two numers = -7
x + y = -7------------(I)
Two times the first number equals 4 the second number.
2x = 4y ----------(II)
Divide both sides by 2
[tex]\sf \dfrac{2x}{2}=\dfrac{4y}{2}[/tex]
x = 2y
Subtitute x = 2y in equation (I)
2y + y = -7
3y = -7
y = -7/3
Plugin y = -7/3 in equation (II)
[tex]\sf 2x = 4*\dfrac{-7}{3}\\\\2x = \dfrac{-28}{3}\\\\x =\dfrac{-28}{3*2}\\\\x = \dfrac{-14}{3}[/tex]
