Balance the equation by algebra method C6H12O6 = CO2 H2O ?

To balance the equation C6H12O6 = CO2 + H2O using the algebraic method, we need to ensure that the number of atoms of each element is the same on both sides of the equation.

Let's start by balancing the carbon atoms. There are 6 carbon atoms on the left side and only 1 carbon atom on the right side. To balance this, we can place a coefficient of 6 in front of CO2:

C6H12O6 = 6CO2 + H2O

Next, let's balance the hydrogen atoms. There are 12 hydrogen atoms on the left side and 2 hydrogen atoms on the right side. To balance this, we can place a coefficient of 6 in front of H2O:

C6H12O6 = 6CO2 + 6H2O

Now, let's balance the oxygen atoms. There are 6 oxygen atoms on the left side and 12 oxygen atoms on the right side. To balance this, we can place a coefficient of 6 in front of O2:

C6H12O6 = 6CO2 + 6H2O

The balanced equation is:

C6H12O6 = 6CO2 + 6H2O