Read over the article available on the link below. (Values are substituted for the variables that make the expression true.)
http://nrich.maths.org/1357
Questions
First we notice that
13x+29y=42 has many solutions, for example
x=1,
y=1 and
x=30,
y=−12. Can you find others (it has infinitely many solutions)?
2x+4y=13 has no solutions because
2x+4y must be even and
13 is odd. Can you find another equation that has no solutions?
Post your solutions!!!