Objective : Solving systems of linear equations by graphing System of linear equation two or more linear equations How do I solve linear systems of equations? any ordered pair (point) that makes ALL the equations true solution 1. graph the equations 2. Find the point of intersection *** point of intersection is a solution ***
example Graph the following equations and find the solution. Check your answer.
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
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
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 friend’s account
STEP 3 Graph equations Solution: 7 weeks