
Graphically solving a System of two Linear Equatio

We will use the fact that the solution
to a system of equations of two variables and
two equations occurs at the point the graph of
the two equations intersect.
Remember that every point (x,y) on
the graph of an equations represents a
ordered x,y pair that is a solution to that
equation. The solution to a system of
equations is the ordered x,y pair that satisfies
both equations. The solution point must lie
on both graphs and the point of intersection is
the only point that does that. 

We will now show how to find the
point of intersection. Let us solve the
following system:
4x+3y=14
9x2y=14
First wemust solvethese equations for y because
we can only enter a y = equation in the calculator
4x+3y=14
3y=144x divideboth sides by 3
divideboth sides by 2
We could take more steps to put the
equations above in slope intercept form if we
were graphing them by hand. However that is
not necessary with the calculator.
We will now enter these two equations into the
calculator . Press “y=” to get to the equation screen. Press “clear” to
clear any equations already in the calculator. 
