Chapter 3 Linear Systems Solving Systems Using Tables

Chapter 3 – Linear Systems

Solving Systems Using Tables and Graphs Section 3. 1

System of Equations •

Solution of a System •

Using a Graph to Find a Solution •

You Try •

Practice •

STEPS 1. Solve each equation for y. 2. Carefully graph each equation with a STRAIGHT line. 3. Find the point of intersection (x, y).

HOMEWORK p. 138 #1, 2, 7 -10 - graph and find the solution to each system

Warm Up (Day 2) •

Three Possibilities…

How Can You Tell Without Graphing? 1. Solve each equation for y. 2. Compare the slopes. If they are DIFFERENT… Øthe lines will intersect ØONE SOLUTION

3. If the slopes are the same, compare the y-intercepts. If those are DIFFERENT… Øthe lines are parallel ØNO SOLUTION 4. If BOTH slope and intercepts are the same… Øthe lines coincide ØINFINITELY MANY SOLUTIONS.

Practice •

Practice •

Practice •

In the Graphing Calculator • Put the two equations into Y 1 and Y 2. • They MUST be solved for y! • [2 nd][CALC][5] for intersect. Hit [ENTER] 3 times, and it will calculate the point (x, y) where they intersect!

HOMEWORK (day 2) • p. 139 #17 -23 (w/o graphing, determine whether the system has 0, 1, or infinitely many solutions) • #30, 33 (find the solution to the system using the graphing calculator)