# Solve the diophantine equation: 15x+64y = 1

### 1 Answer | Add Yours

Remember that Diophantine equations accept integer solutions, only.

Write the equation in the slope intercept form.

64y = -15x + 1

Dividingy by 64 both sides => y = -(15/64)*x + 1/64

Notice that the only factor that can divide c (c=1) is 1.

From this point, you have no reason to continue to solve the equation because it will not lead you to integer solutions.

**ANSWER: The Diophantine equation has no integer solutions.**