Objective: Solving systems of linear equations by graphing

1
Objective Solving systems of linear equations
by graphing
System of linear equation
two or more linear equations
any ordered pair (point) that makes ALL the
equations true
solution
How do I solve linear systems of equations?
1. graph the equations 2. Find the point of
intersection
point of intersection is a solution
2
example
Graph the following equations and find the
solution. Check your answer.
3
Objective Solving systems of linear equations
by graphing (real-world problems)
How do I solve problems using linear systems of
equations?
1. Define variables 2. Write equations 3. Graph
equations 4. Find solution
4
example
Suppose you have 55 in your bank account. You
start saving 10 each week. Your friend has 20
in her bank account and is saving 15 each week.
When will you and your friend have the same
amount of money in your accounts?
STEP 1
define variables
Let w time for accounts to be equal Let z
money account
5
example
Suppose you have 55 in your bank account. You
start saving 10 each week. Your friend has 20
in her bank account and is saving 15 each week.
When will you and your friend have the same
amount of money in your accounts?
STEP 2
Write equations
your account
friends account
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Graph equations
STEP 3
Solution 7 weeks