difference between solving and dissolving something
According to the Merriam Webster dictionary, dissolve originates from the Middle English word solve, meaning to loosen or dissolve. There is no official modern English definition for solve other than 1) to find a solution, explanation, or answer or 2)  to pay (as a debt) in full.  

The IUPAC Gold Book actually gives no definition for either solve or dissolve, though it defines solvation:  


  Any stabilizing interaction of a solute (or solute moiety) and the solvent or a similar interaction of solvent with groups of an insoluble material (i.e. the ionic groups of an ion-exchange resin). Such interactions generally involve electrostatic forces and van der Waals forces, as well as chemically more specific effects such as hydrogen bond formation.  


When two miscible liquids are combined, they are said to form a solution.