Question

The first equation of a system of equations is y = -3x + 2. The graph of the system has no solution. Write a possible second equation for the system.

Answer 1

see below.

Explanation:

For a system of equation to not have a solution, the pair of lines will never intersect. For two lines to never intersect, their slopes will be parallel.

The second equation can be as simple as y = -3x.

The only equation it cannot be with a slope of -3 is y = -3x + 2. This is because that is the same equation and will therefore have an infinite number of solutions.