One equation in a system of linear equations is y=2x+1 a. write a second equation so that (1,3) is the only solution of the system

b. Write a second equation so that the system has infinitely many solutions

c. Write a second equation so that the system has no solutions

would appreciate answers

Step-by-step explanation:

Given equation:

a. write a second equation so that (1,3) is the only solution of the system

To have only one solution the equation must have a different slope.

Let it be 10, then the y-intercept of y = 10x + b is:

And the equation:

b. Write a second equation so that the system has infinitely many solutions

To have infinitely many solutions, both equations must be same:

c. Write a second equation so that the system has no solutions.

To have no solutions, the equations must have same slope but different y-intercepts:

(w – 2.5)(w + 2.5)

(–4v – 9)(–4v + 9)

step-by-step explanation: