Y=5x+2
4x-y=0
is (2,12) a solution of the system?

The point (2,12) is not a solution of the system

see the explanation

Step-by-step explanation:

we have

----> equation A

----> equation B

Solve the system by elimination

Adds equation A and equation B

Find the value of y

substitute the value of x in the equation A

The solution of the system is the point (-2,-8)

The system has only one solution, because the intersection point both lines is only one point

therefore

The point (2,12) is not a solution of the system

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