If y varies directly as x and k=8 , find x when y =8

x = 1

Step-by-step explanation:

Given that y varies directly as x then the equation relating them is

y = kx ← k is the constant of variation

here k = 8, thus

y = 8x ← equation of variation

When y = 8, then

8x = 8 ( divide both sides by 8 )

x = 1

For this case we have that the variables x and y vary directly according to the following constant of proportionality.

Then, the equation would be:

Substituting the value of y, we have the value of x

Thus, according to the given proportionality constant.

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