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# Systems of linear equations, a general approach

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Explain how you decide whether it is easier to solve a system by substitution or the elimination method. Response should be detailed and include an example

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Systems of linear equations, a general approach

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Let's suppose that we have two equations

ax + by = c
dx + ey = f

where x and y are the variables we are trying to solve, and a to f are constants.

For our discussion here, we call (a,d) and (b,e) a vertical pair and (a,b) and (d,e) a horizontal pair.

If a vertical pair is the same, or one element in one vertical pair is a multiple of the other, then we should use elimination. This ...

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