# How do I use the algebraic method to balance the equation CaCO₃ + H₃PO₄ → Ca₃(PO₄)₂ + H₂CO₃?

##### 1 Answer

#### Answer:

The balanced equation is

#### Explanation:

You write the equation using letter variables for the coefficients.

Then you set up a series of simultaneous equations, one for each element.

Now you solve the five simultaneous equations.

It looks almost impossible, but we know that the coefficients must be integers.

Let's set

Then

So

The balanced equation is