Using Linear Algebra balance the following chemical equation

Using Linear Algebra, balance the following chemical equation

Using Linear Algebra, balance the following chemical equation (x_1) HCl + (x_2) Na rightarrow (x_3) NaCl + (x_4) H_2

Solution

Na+Hcl=Nacl+H2

2Na+ 2Hcl= 2Nacl+H2

x1=2, x2=2, x3=2 and x4=1

Because 2 atoms of Na react with 2 atoms of Hcl to form 2 atoms of Nacl and 1 atoms of H2.