I've gotten to the point where I have the following equation: 2 x 2 x...
I've gotten to the point where I have the following equation:
Would it be mathematically correct to split this into the following two equations
and treat them as a system of equations? If so, then how would I go about doing this?
Answer & Explanation
You can not split this equation. That would be the same as saying can be split into and .
If the points are and , for to be the midpoint between and , then one way of writing this is that must be on the line between and (i.e., for ) and must be at the halfway position (i.e., ).
Another way is that and . This way gives you two equations for the two unknowns of the x and y components of .