The document discusses solving systems of linear equations graphically. It explains that to solve a system graphically, each equation in the system is graphed on the same coordinate plane. The point where the graphs intersect is the solution to the system. It provides an example of solving the system "x + y = 10" and "x - y = 2" graphically, finding the solution is (6, 4) by determining the point of intersection between the lines.

1. SYSTEMS OF LINEAR EQUATIONS
AND INEQUALITIES
Week 02: Solving System of Linear Equations Graphically
Prepared by: Jojo M. Lucion
DISCUSSION
Two or more equations such as x + y = 10 and x - y = 2 form a system of linear
equations. To solve such a system, we find the ordered pair that makes both equations true. To
solve a system of linear equations graphically, graph each equation on the same set of coordinate
axes. For two lines that intersect at a point, the coordinates of that point are the solution of the
system.
To solve a system of linear equations graphically, graph each equation on the
same set of coordinate axes. For two lines that intersect at a point, the
coordinates of that point are the solution
Example 1.
Graph :
x + y = 10
x-y =2
You can form table of values then graph.

2. What is the intersection of the two lines?
(6, 4 )
(6, 4 ) is the solution set.
We can check that ( 6, 4 ) is the solution set by verifying that x = 6 and y = 4 makes both of the
original equations true at the same time.
Example 3.
Solve the system by graphing
2x + y = 5
y - x = -4
Transform the equations into y = mx + b
Each equation can be graphed using the slope - intercept method. As shown in the figure, what
is the solution of the system of equations? Why?