Aset of equations is given below:

equation c: y = 2x + 6
equation d: y = 2x + 2

which of the following best describes the solution to the given set of equations?

one solution
two solutions
no solution
infinitely many solutions

no solution.

Step-by-step explanation:

The given set of equations is

Equation C: y = 2x + 6

Equation D: y = 2x + 2

Comparing, both equations with slope intercept form of the line y = mx +b.

Here, m is slope and b is y-intercept of the line.

Thus, we have

slope of line C = 2

slope of line D = 2

Since, the slopes of these two lines are equal.

Hence, the lines are parallel and hence never intersect.

Therefore, the given set of equations has no solution.