



 
Hi Robert. There are two variables and one equation, so that means there are many answers (you always need as many equations as variables if you want a single specific answer!) So in fact, you have a line and any pair of numbers on the line will answer it. For example, if x is 0 and y is 8, that works. Also, if x is 3 and y is 3, it works. Also, if x is 24/5 and y is 0 it works. There are in fact an infinite number of "answers" because the equation you have represents a line and a specific pair of numbers is a point. Since there are an infinite number of points on a line, there are an infinite number of answers. Note that I use the word "answer" to refer to a specific value. A looser definition of "answer" would be that the answer to the question you asked "What is 5x +3y = 24" is just "a line." Cheers,  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 