Question

To verify that a linear equation in two variables has infinite numbers of solution?​

Answer 1

Answer:

mark me brainiest

Step-by-step explanation:

Consider the equation ax+by=c.

Now we know that there is a number d=lcm(a,b).

Let ad1=d and bd2=d. So, ad1−bd2=0. Note that neither d1 nor d2 is 0.

ax+by+ad1−bd2=c

a(x+d1)+b(y−d2)=c

Thus, for every solution of this linear diophantine equation of two variables, there exists another unique solution. Hence, there is an infinite number of solutions to this equation