Question

the Diophatine equation 4 x + 2 Y = 3 will have an integer solution
A. ( True )
B. ( False )​

Answer 1

B. False

$4x + 2y = 3$

Applying Bezout's Identity,

We note,

$g.c.d.(2,4) = 2 \neq 3$

Hence, there exists no integer solutions for the Equation.