Solving Systems of Equations by Substitution

Slides:

Advertisements

Similar presentations

8-2: Solving Systems of Equations using Substitution

Advertisements

Solve a System Algebraically

Solving Systems of three equations with three variables Using substitution or elimination.

Warm Up 1) Is (-3, 4) a solution to the system? 2)Solve the system by graphing y = -2x + 5 2y = x - 2.

3-2: Solving Systems of Equations using Elimination

4.4 Equations as Relations

Equations Reducible to Quadratic

Solving a System of Equations by SUBSTITUTION. GOAL: I want to find what x equals, and what y equals. Using substitution, I can say that x = __ and y.

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.

5.2: Solving Systems of Equations using Substitution

Day Problems Solve by graphing. Check your solution.

AIM: How do we solve systems using substitution? Topic: Solving systems algebraically.

Solving Systems of Linear Equations by Substitution; Applications Solve systems of linear equations using substitution. 2.Solve applications involving.

Solving Linear Systems by Substitution

9.3 Equations and Absolute Value Goal(s): To solve equations involving absolute value.

Solving Systems of Equations by Elimination. Standard and Objective A.REI.5 Prove that, given a system of two equations in two variables, replacing one.

Solving a System of Equations in Two Variables By Substitution Chapter 8.2.

Y=3x+1 y 5x + 2 =13 Solution: (, ) Solve: Do you have an equation already solved for y or x?

Bell Ringer 2. Systems of Equations 4 A system of equations is a collection of two or more equations with a same set of unknowns A system of linear equations.

7-3: Solving Systems of Equations using Elimination

Topic 6.5. Solve Systems by Substitution Objectives: Solve Systems of Equations using Substitution Standards: Functions, Algebra, Patterns. Connections.

Warm-up. Systems of Equations: Substitution Solving by Substitution 1)Solve one of the equations for a variable. 2)Substitute the expression from step.

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

Notes 6.5, Date__________ (Substitution). To solve using Substitution: 1.Solve one equation for one variable (choose the variable with a coefficient of.

Solving Systems by Substitution (isolated) Solving Systems by Substitution (not isolated)

Solving Systems of Linear Equations in 2 Variables Section 4.1.

Chapter 12 Section 1.

Solving Systems of Equations using Elimination

Solving Systems Using Substitution

Solve Systems of Equations by Graphing

3-2: Solving Systems of Equations using Substitution

Solving Systems of Equations

6-2 Solving Systems using Substitution

Warm-Up Solve the system by substitution..

3-2: Solving Systems of Equations using Elimination

Solving Systems using Substitution

Solve a system of linear equation in two variables

Simplify Expressions 34 A number divided by 3 is 7. n ÷ 3 = 7.

3.3: Solving Systems of Equations using Elimination

3-2: Solving Systems of Equations using Substitution

Solving Systems of Equations using Substitution

Introduction to Systems of Equations and Identifying the Number of Solutions Lesson 5.

3-2: Solving Systems of Equations using Substitution

Solve Systems of Linear Equations Substitution

3-2: Solving Systems of Equations using Elimination

Solving one- and two-step equations

Skill Check over Solving Systems by Graphing after Homework Check

If you can easily isolate one of the variables,

Question How do you solve a system of simultaneous equations by substitution?

3-2: Solving Systems of Equations using Elimination

Solving systems using substitution

one of the equations for one of its variables Example: -x + y = 1

form the ordered pair solution

Systems of Equations.

Warm-Up Solve the system by graphing..

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Elimination

Warm Up Check to see if the point is a solution for the

Solving Systems of Equations using Elimination

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

Solving Systems of Linear Equations by Substitution

Warm-up 1. 5x – 4 = 2x (x + 2) + 3x = 2 Solve for the variable 1. 5x – 4 = 2x (x + 2) + 3x = 2.

Warm-up 1. 5x – 4 = 2x (x + 2) + 3x = 2 Solve for the variable 1. 5x – 4 = 2x (x + 2) + 3x = 2.

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

Solving By Substitution

The Substitution Method

The student will be able to:

Presentation transcript:

Solving Systems of Equations by Substitution

Standard and Objective A.REI.5 Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. SWBAT solve systems of equations by substitution

Steps to Solving Systems of Equations by Substitution Step 1: Isolate one of the two variables. (Either get x by itself or y by itself) Step 2: Substitute the expression from step 1 into the other equation and solve for the other variable. Step 3: Substitute the value from step 2 into the equation from step 1 and solve. Step 4: Check your solution. Step 5: Prove that your solution makes both equations true.

Additional Notes It is best to use the substitution method when a variable is already ISOLATED in one of the equations

Example 1 y = x -1 x + y = 3

Example 2 2x – y = 2 2x + y = 6

Guided Practice

Independent Practice