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Addition of equations

We want to solve two equations with two unknowns. That means, that you determine the intersection point of two straight lines


Method 1

Usually the first method you learn is to express x in y in both equations

Now we take the results, and find

Cross multiplication gives

By entering y in one of the equations you get x.

It's all rather cumbersome, and if you're not careful you can quickly make arithmetical mistakes.


Method 2

There is a simpler method to solve the equations. If you work like this, you can save a lot of time.

It is obvious how this works, so no further explanation is needed. You just have to make sure that the x's or the y's disappear.


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