Simultaneous Equations Summary![]() If we are given one equation with two unknowns, there are an infinite number of possible solutions to them.
Two different equations involving two unknown variables are required to find a unique solution to them both.
To solve two equations at the same time (so called simultaneous equations) we first rearrange one equation for one variable; substitute this in the other equation; solve for one variable then substitute in the other equation.
To solve for 3 unknowns, we require at least 3 separate equations.
To solve for n unknowns (where n is a positive integer!), we require at least n separate equations.
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