Question

7. If x can be any number, how many solutions are there for the equation? y = 7x – 1 * A. There are two solutions because there are two variables in the equation. B. There is only one solution because all equations have one solution. C. There is no solution because there are no values for the variables that make the equation true. D. There are many solutions because there are many values for the variables that make the equation true.

Answer 1

For the function y = 7x - 1, if you state that the domain(or all the numbers you can substitute in for "x") of that function is the set of all real numbers, then you can assume that there will be an infinite number of solutions for the function.

In other words, if you substitute any real number in for "x" you will find that you will get a corresponding value for "y".  In fact, these "pairs" of corresponding values of x and y are called ordered pairs and represent the various solutions of the equation.  

Your response should be choice D: