A system of linear equation comprises two or more linear
equations. The solution of a linear system is the ordered pair that
is a solution to all equations in the system.
One way of solving a linear system is by graphing. The solution
to the system will then be in the point in which the two equations
Solve the following system of linear equations
The two lines appear to intersect in (2, 8)
It's a good idea to always check your graphical solution
algebraically by substituting x and y in your equations with the
A linear system that has exactly one solution is called a
consistent independent system. Consistent means that the lines
intersect and independent means that the lines are distinct.
Linear systems composes of parallel lines that have the same
slope but different y-intersect do not have a solution since the
lines won't intersect. Linear systems without a solution are called
Linear systems composed of lines that have the same slope and
the y-intercept are said to be consistent dependent systems.
Consistent dependent systems have infinitely many solutions since
the lines coincide.
Video lesson: Solve the linear system