If x can be any number, how many solutions are there for the equation?

y = 4x – 1

a.
there is no solution.

b.
there is only one solution.

c.
there are many solutions.

d.
there are two solutions.

The correct answer is C. There are many solutions. For this is a linear equation, there will be many y possibilities per x. The value of x determine the value of y or the number of solutions for this equation. For example, if x = 0, y = -1. If x = 1, y = 3. If x = 2, y = 7. Linear graphs extend without no end or until positive and negative infinity.