SIMULTANEOUS EQUATION
Simultaneous equations involve two or more equations that share common variables. The goal is to find the values of the variables that satisfy all the equations at the same time. For two linear equations, the methods to solve include:
- Substitution Method: Solve one equation for one variable and substitute it into the other equation.
- Elimination Method: Add or subtract equations to eliminate one variable, making it easier to solve for the other.
- Graphical Method: Plot the equations on a graph and find the point of intersection, which gives the solution.
The solution can be:
- One unique solution (when the lines intersect at one point).
- No solution (when the lines are parallel).
- Infinite solutions (when the lines overlap).