Understanding Systems of Equations
A system of equations consists of two or more equations with multiple variables.
When we have a system of two linear equations with two variables (x and y), we're looking for the point where the two lines intersect. This point satisfies both equations simultaneously.
Example System:
2x - y = 3
x + 2y = 8
There are several methods to solve systems of equations:
1
Substitution Method
Solve for one variable in terms of the other, then substitute.
2
Elimination Method
Add or subtract equations to eliminate one variable.
3
Graphical Method
Plot both lines and find their intersection point.