The system y = 2x + 3 and y = 2x − 1 has how many solutions

No solution.

Step-by-step explanation:

Because they both equal y, we can make them equal to each other.

2x + 3 = 2x - 1

If we were to subtract 2x on both sides, then we would be left with this.

3 ≠ -1

As you probably know, 3 is not the same as -1.

This means these systems have no solutions.

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

no solution

step-by-step explanation:

there is not enough information in the problem to solve.