balance the given chemical equation. potassium superoxide and carbon dioxide react to form potassium carbonate and oxygen:

ko2 + co2 → k2co3 + o2

(write the reaction in the form x1ko2 + x2co2 → x3k2co3 + x4o2, and solve for x1, x2, x3, and x4.)

4KO2 + 2CO2 → 2K2CO3 + 3O2

Step-by-step explanation:

First we write the reaction in the asked form :

x1 KO2 + x2 CO2 → x3 K2CO3 + x4 O2

In a chemical equation, tha amount of  substance that react is the same amount that is formed :

On each side of the equation we must have the same amount of K,C and O.

Let's write this in equations :

K balance :

C balance :

O balance :

The linear equations system is :

Let's equal to 0 to obtain a homogeneous  equations system (for convenience) :

Let's work with the  extended system matrix :

Working with the matrix :

→

→

→

→

→

The matrix is extended to the following linear system :

t∈ IR

Let's choose t=3 to eliminate the fractional numbers  →

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step-by-step explanation:

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