Warm-Up
Solve this system by graphing:
Chapter 6
Systems of Equations and Inequalities
Objectives for this Chapter:
-Identify solutions of systems of linear equations in two variables
-Solve systems of linear equations in two variables by graphing
-Solve systems of linear equations in two variables by substitution
-Solve systems of linear equations in two variables by elimination
-Write a system of equations from a word problem and then solve
the system of equations to answer the question
-Solve special systems of linear equations in two variables
-Classify systems of linear equations and determine the number of
solutions
-Graph and solve linear inequalities in two variables
-Graph and solve systems of linear inequalities in two variables
-Write a system of inequalities from a word problem and then graph
the system to answer the question.
Today you will
solve a system of equations
by using substitution
6.2
Solving Systems by Substitution
{xx +=8y2y=- 416
{yy == 3xx - 2
{
y = x+1
4x + y = 6
{
2x + y = -4
x + y = -7
{
2x + 3y = 31
y = x+7
You Choose your Problem:
Level A
Level B
y=x-2
2x + y = 4
2x - y = 6
x + y = -3
Level C
3x = -y + 10
2x + 3y = -12