Suppose y varies directly with x, and y=14 when x=-4. what is the value of y whan x=-6?

For x = -6,  the value of y = 21

Step-by-step explanation:

Here, y varies directly with x.

⇒ y ∝ x

⇒ y = k x for some k; where k = proportionality constant

CASE 1 :  y =  14 when x  = -4

⇒ 14 = k (-4)

or, k = 14/-4 =  -7/2

⇒  k  = -7/2

CASE 2 :  when x = -6

Now,  

or, y = 21

Hence, for x = -6,  the value of y = 21

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2