3.6 – Solving a system of 3 variables

Slides:

Advertisements

Similar presentations

Section 9.2 Systems of Equations

Advertisements

SOLUTION EXAMPLE 1 A linear system with no solution Show that the linear system has no solution. 3x + 2y = 10 Equation 1 3x + 2y = 2 Equation 2 Graph the.

Solving System of Equations Using Graphing

3.5 Solving Systems of Equations in Three Variables

Warm Up #4 1. Evaluate –3x – 5y for x = –3 and y = 4. –11 ANSWER

5.3 Systems of Linear Equations in Three Variables

Math 71A 3.1 – Systems of Linear Equations in Two Variables 1.

8.1 Solving Systems of Linear Equations by Graphing

System of Linear Equations with One Solution Solve the given system of linear equations by graphing both equations on the same integer screen. 1. The point.

6-1B Solving Linear Systems by Graphing Warm-up (IN) Learning Objective: to solve a system of 2 linear equations graphically Given the equations: 1.Which.

Systems of Linear Equations Method 1: Using a Graph to Solve Method 2 : Solve by Substitution Method 3 : Solve by Linear Combination / Elimination.

Warm Up 12/5 1) Is (-2, 3) a solution? 3x + y = -3 3x + y = -3 2x – 4y = 6 2x – 4y = 6 2) Find the solution by graphing y = -4 + x x + y = 6 3) Solve:

Substitution Method: 1. Solve the following system of equations by substitution. Step 1 is already completed. Step 2:Substitute x+3 into 2 nd equation.

6-2A Solving by Substitution Warm-up (IN) Learning Objective: to solve systems of equations using substitution Graph and solve the system of equations.

Math /4.2/4.3 – Solving Systems of Linear Equations 1.

1 Section 5.3 Linear Systems of Equations. 2 THREE EQUATIONS WITH THREE VARIABLES Consider the linear system of three equations below with three unknowns.

Essential Questions: When and how do you solve a system of equations using the substitution method? When and how do you solve a system of equations using.

Advanced Algebra Notes Section 3.4: Solve Systems of Linear Equations in Three Variables A ___________________________ x, y, and z is an equation of the.

Chapter 3 Examples Section 5 Solving System of Equations Algebraically with 3 variables.

Section 9.3 Systems of Linear Equations in Several Variables Objectives: Solving systems of linear equations using Gaussian elimination.

Solving Systems of Equations

SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION. #1. SOLVE one equation for the easiest variable a. Isolated variable b. Leading Coefficient of One #2. SUBSTITUTE.

Systems of 3 Equations and 3 Variables Lesson 29 Pages Lesson 29 Pages

Solving Systems of Linear Equations in 2 Variables Section 4.1.

Use the elimination method

Algebra 2 Chapter 3 Review Sections: 3-1, 3-2 part 1 & 2, 3-3, and 3-5.

3.5 Solving systems of equations in three variables Main Ideas Solve systems of linear equations in three variables. Solve real-world problems using systems.

Algebra 1 Review Systems of Linear Equations Using Substitution

Objective I can solve systems of equations using elimination with addition and subtraction.

Warm UP: Solve the following systems of equations:

Solving Systems of Equations by Elimination2

6.3 Solving Systems of Linear Equations in Three Variables

Solving Systems of Linear Equations in 3 Variables.

Warm-Up Graph Solve for y: Graph line #2.

Solving System of Linear Equations

Solving By Substitution

Solving Systems of Linear Equations in Three Variables

Warm Up 3x + 5y = 25 4x + 7y = 34 Find the value of x and y so that both equations are true.

3.6 Solving Systems of Linear Equations in Three Variables

6.3 Solving Systems of Linear Equations in Three Variables

Warm - Up Graph each equations on its own coordinate plane.

Section 2 – Solving Systems of Equations in Three Variables

Solving Linear Systems Algebraically

Solve a system of linear equation in two variables

Lesson 7-4 part 3 Solving Systems by Elimination

Lesson 7-4 part 2 Solving Systems by Elimination

Lesson 7.1 How do you solve systems of linear equations by graphing?

Solving Systems of non-linear Equations

3.2a – Solving Systems algebraically

Lesson 7-4 part 3 Solving Systems by Elimination

Systems of Linear Equations

Graph the equation..

Systems of Equations Solving by Graphing.

Objectives Identify solutions of linear equations in two variables.

Warm up: Solve the given system by elimination

Systems of linear equations substitution and elimination

Solving Systems of Linear Equations in 3 Variables.

Systems of Equations Solve by Graphing.

Section 1 – Solving Systems of Equations in Two Variables

Solving Systems Using Elimination

1-2 Solving Linear Systems

7.1 Solving Systems of Equations

1.2 Solving Linear Systems by Graphing

9.1 Solving Systems of Linear Equations in Three Variables

Lesson 0 – 8 Systems of Linear Equations

Systems of three equations with three variables are often called 3-by-3 systems. In general, to find a single solution to any system of equations,

Presentation transcript:

3.6 – Solving a system of 3 variables What!!!!

Draw and describe the different ways that Planes intersect. Pg 177

Can you solve by graphing? Why or why not?

Steps for triple variables 1) Find the easiest variable to get rid of . One with a 1 or -1 as a coefficient. 2) Use that equation and one other . Eliminate that variable. 3) Use the same equation and the last one. Eliminate the same variable. 4) Use the two variable equations and eliminate another variable. 5) Use substitution up the line.

Tricks If the variables have values write as a 3d point (x, y, z) is the final answers. If the system blows up and 0=4 or 0=-23 the answer is NO SOLUTION. If the system blows up and the final line is 4=4 or 0=0 or -36=-36. The answer is INFINITE SOLUTIONS.

Ex1) Solve the system. I would use linear combo.

Ex1) Solve the system. I would use linear combo. (2,-1,1)

Ex2) Solve the system.

Ex2) Solve the system. (5,-1,1)

H.W. pg 181 13-23 Odd 24,26,27,29,30 Or W.S.