When using the elimination method does it matter which variable you choose to eliminate? How do you write the solution to represent the point if intersection?
I guess it doesnt matter
ain't nobody understand what you just said
When using the elimination method to solve a system of linear equations, it typically doesn't matter which variable you choose to eliminate first. You can choose either variable to eliminate.
To solve a system of linear equations, you need to eliminate one variable by adding or subtracting the two equations. By doing this, you can reduce the system to one equation with one variable. Once you have this new equation, you can solve it to find the value of that variable.
After finding the value of one variable, substitute this value back into either of the original equations to find the value of the remaining variable. This will give you the solution to the system in terms of both variables.
To represent the point of intersection, you write it as an ordered pair (x, y), where x is the value for one variable and y is the value for the other variable. For example, if the solution to the system is x = 3 and y = 5, then the point of intersection is (3, 5).
We normally eliminate the diagonal element and the associated variable.
For systems with non-zero diagonals, it should work well most of the time except when the diagonal element is non-zero but its absolute value is very small. This can cause numerical loss of accuracy in the final solution.
There are algorithms which would interchange rows to create a strong diagonal, thereby minimizing numerical inaccuracies.