5.5
Solving linear systems of two
equations by graphing
Be able to find either:
xintercept and yintercept
for each of the equations.
Or be able to find the slope
intercept, y = mx + b,
equation of the line for each
equation in the system.
In the example, the two lines
cross at the ordered pair (
1,1) which is the solution.
Additionally, be able to verify
an ordered pair as a solution
to a system of equations.
Example:
+
=
2x 3y
1

=
4x 3y
7
Step 4: Use the solution
obtained in step 3, along with
the expression obtained in
step 1, to determine the
solution of system.
x = 1
divide both sides by 6
2
(1)
+3y = 1
2
– 3y = 1
3y =
3
y = 1
Using systems of equations to
solve word problems—
investment problems, sales
problem, and purchasing
problem
You should expect one of each
type of problem on the exam.
Problems worth looking at in
the Homework Section
9, 19, 27, 41, 45, 47, 49, 51, 53,
54, 55, 57
5.6
Solving linear systems by the
eliminationbyaddition
method
Using systems of equations to
solve word problems—
mixture problems, purchasing
problems
Practice—6, 14, 18, 22, 25,
34, 36, 40, 50
On My Own—8, 10, 24, 38,
10x  8y = 11
8x + 4y = 8
1. Choose to add a variable to 0.