How may solutions does -3(x-2)=6-3x have

Every real number is a solution.

Step-by-step explanation:

−3 (x − 2) = 6 − 3x

(−3) (x) + (−3) (−2) = 6 + −3x

−3x + 6 = 6 + −3x

−3x + 6 = −3x + 6

−3x + 6 + 3x = −3x + 6 + 3x

6 = 6

6 - 6 - 0

0=0

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3