9. Diophantine Equations I

Linear Diophantine Equations — Quiz

Test your understanding of linear diophantine equations with 5 practice questions.

Practice Questions

Question 1

Which equation is a linear Diophantine equation?

Question 2

What does the greatest common divisor test tell us about $4x+6y=5$?

Question 3

Which pair is one integer solution of $3x+5y=1$?

Question 4

Suppose $(2,1)$ is one integer solution of $2x+3y=7$. Which formula gives all integer solutions?

Question 5

How many integer solutions does $x+y=5$ have?