The following problems have you use Sage for computations. Either use SageCell, CoCalc, or SageCell within our textbook. and one atom of oxygen (O). The process by which hydrogen is burned is described by the chemical reaction xH2+yO2zH2O This means that x molecules of hydrogen H2 combine with y molecules of oxygen O2 to produce z water molecules. The number of hydrogen atoms is the same before and after the reaction; the same is true of the cocygen atoms. Finear Algebra Linear Algebra - page 1/2 (a) In terms of x,y, and z, how many hydrogen atoms are there before the reaction? How many hydrogen atoms are there after the reaction? Find a lines equation in x,y. and z by equating these quantities. (b) Find a second linear equation in x,y, and x by equating the number of oxygen atoms before and after the reaction. (c) Find the solutions of this linear system using Sage. Why are there infinitely many solutions? (d) In this chemical setting x,y, and z should be positive whole numbers. Find the solution where x,y, and x are the smallest possible whole numbers