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A system of equations is a set of two or more equations with the same variables, graphed in the same coordinate plane
It means that values are assigned to each of the variables in such a way that, when replacing the variables for those values, EACH of the equations will be true.
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There can be linear equations with 1, 2, ... variables. Each of these is different since an equation with n variables belongs to n-dimensional space.
It is essential to use balanced equations when solving stoichiometric problems because each kind of atom has to be the same on both sides of the equation. The chemical reactions that take place are molar ratios.