Answer:
[tex]x=20[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
in this problem
For x=-14, y=-7
Find the value of the constant of proportionality k
[tex]k=y/x[/tex]
substitute
[tex]k=-7/-14=0.5[/tex]
so
The linear equation is
[tex]y=0.5x[/tex]
Find x when the value of y=10
substitute the value of y in the equation
[tex]10=0.5x[/tex]
solve for x
Multiply by 2 both sides
[tex]x=20[/tex]
