# How do you solve the system of equations #2x - 5y = 10# and #4x - 10y = 20#?

##### 1 Answer

There are an infinite number of solutions for this pair of equations since they are just two different versions of the same line.

If you re-write

If you have two linear equations (which you can think of as two straight lines drawn in the xy-plane) there are 3 possibilities: they cross at exactly one point; they don't cross (that is they are parallel like train tracks); or they are exactly the same line so they match up at every point along the line.