# Let \$R\$ be a commutative Ring and \$a,b,x,yin R\$ and \$ax=by\$ and \$<x,y>=R\$ then \$x|b\$ and \$y|a\$

I have tried to use the property that $$=R$$ but I cannot find a solution. Help or links to already existing answers would be apreaciated

$$ax=by$$ and $$=R$$. Thus $$mx+ny=b$$ and $$qx+ry=a$$ hence $$by=(qx+ry)x$$

We have to find $$w,z$$ such that $$wx=b$$ and $$zx=a$$