### Word equation

* sodium hydroxide + hydrogen chloride → sodium chloride + water*

### Input interpretation

* NaOH + HCL → NaCl + H2O*

** Sodium hydrogen hydrogen chloride sodium chloride water**

### Balanced equation

Balance the chemical equation algebraically:

* NaOH + HCL → NaCl + H2O*

Add stoichiometric coefficients, c;, to the reactants and products:

* c1NaOH + c2HCL → c3 NaCl + c4 H2O*

Set the number of atoms in the reactants equal to the number of atoms in the products for **H, Na, O **and **Cl:**

*H: c1+ c2 = 2c4*

*Na: c1 =c3*

*O: c1=c4 *

*Cl: c2=c3*

Since the coefficients are relative quantities and underdetermined, choose a coefficient to set arbitrarily. To keep the coefficients small, the arbitrary value is ordinarily one. For instance, set **c1 = 1** and solve the system of equations for the remaining coefficients:

* C1 = 1 C2=1*

* C3 = 1 C4 = 1*

Substitute the coefficients into the chemical reaction to obtain the balanced equation:

**Answer:**

* NaOH + HCL → NaCl + H2O*