Simultaneous equations like 𝒚 = 2𝒙 - 1 and 𝒚 = 𝒙 + 1 can be represented graphically. To solve the equations graphically, the two lines 𝒚 = 𝒙 + 1 and 𝒚 = 2𝒙 - 1 are drawn on the same diagram.

To find solutions from graphs, look for the point where the two graphs cross one another. This is the solution point. For example, the solution for the graphs \(y = x + 1\) and \(x + y = 3\) is the ...

Systems of equations can be modelled as matrices in order to solve them The concept and example illustrated below explain the calculations that occur: $$ A \begin{bmatrix} x \\ y \\ z \end{bmatrix} = ...