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

Slides:

Advertisements

Similar presentations

Solving Systems of Equations using Substitution

Advertisements

8-2: Solving Systems of Equations using Substitution

y=3x Find y if x=3 2. Find y if x= -2

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

3.5 Solving systems of equations in 3 variables

Warm-up Twice the supplement of an angle is ten times the measure of the angle itself. Find the measure of both angles. Three times the complement of an.

3.5 – Solving Systems of Equations in Three Variables.

3-2 Solving Equations by Using Addition and Subtraction Objective: Students will be able to solve equations by using addition and subtraction.

ALGEBRA LESSON 2 EVALUATING EXPRESSIONS AND CHECKING.

Substitution Method Critical Thinking Skill: Explicitly assess information and draw conclusions Sometimes using the graphing method can be problematic.

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.

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

I can solve one-step equations in one variable.. Equations that have the same solutions. In order to solve a one-step equation, you can use the properties.

Section 7.3 Solving Radical Equations. A radical equation is an equation in which a variable is under a radical. To solve a radical equation: 1. Isolate.

5.2: Solving Systems of Equations using Substitution

1.2 The Method of Substitution. Intersection of Lines Yesterday we talked about solving when two lines intersect… – How did we do that? – Are they equal.

Bell Work2/5/14 Solve the system by graphing. Yesterday’s Homework 1.Any questions? 2.Please pass your homework to the front. Make sure the correct heading.

Solving One Step Equations Notes and Practice Problems.

Solving Linear Systems by Substitution

OCTOBER 13, 2009 Solving Systems of Equations. Objectives Content Objectives Review the addition/elimination method. Learn the substitution method. Language.

Solving Systems of Equations The Substitution Method When will the substitution method be useful?

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?

ONE STEP EQUATIONS Multiplication and Division ONE STEP EQUATIONS Example 1 Solve 3x = 12 Variable? x 3x = 12 x x 3 ÷ 3 Inverse operation? Operation?

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

Systems of Equations By Substitution and Elimination.

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.

System of Equations Solve by Substitution. A System of Equations:  Consists of two linear equations  We want to find out information about the two lines:

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

6-2 SOLVING LINEAR SYSTEMS BY SUBSTITUTION Goal: Use substitution to solve a linear system Eligible Content: A / A

Objective solve systems of equations using elimination.

Solving Systems by Substitution (isolated) 3/16/2016 Objective: solve a linear system by substitution when a term is already isolated. Students will solve.

Objective: Use factoring to solve quadratic equations. Standard(s) being met: 2.8 Algebra and Functions.

3.4 Solving Systems with 3 variables

One-Step Equations with Subtraction

3-2: Solving Systems of Equations using Substitution

Solving Systems of Equations

Warm-Up Solve the system by substitution..

Solve a system of linear equation in two variables

SYSTMES OF EQUATIONS SUBSTITUTION.

3-2: Solving Systems of Equations using Substitution

Solving Systems of Equations using Substitution

Logarithmic and exponential equations

Getting the radical by itself on one side of the equation.

3-2: Solving Systems of Equations using Substitution

Solving Systems of Equations by Substitution

3.2a – Solving Systems algebraically

Notes Solving a System by Elimination

Notes Solving a System by Elimination

Solving One and Two Step Equations

6-2 Solving Linear Systems by substitution

Solving Systems of Equations

If you can easily isolate one of the variables,

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

Solving Equations with Variables on Both Sides

Solving Equations with Variables on Both Sides

Systems of Equations.

Warm-Up Solve the system by graphing..

3-2: Solving Systems of Equations using Substitution

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

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

The student will be able to:

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

Logarithmic and exponential equations

The Substitution Method

The student will be able to:

Presentation transcript:

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

Notes Solving a System of Equations by Substitution 1. Solve one of the equations for x or y. 2. Substitute your new expression from Step 1 into the other equation and solve for the variable. 3. Plug that solved variable into the other equation from Step 1 and solve for the other variable. 4. Check your answers by plugging it into the original equations. - Get x or y by itself.

Notes Ex. Solve the system by substitution. 2) Substitute into other equation. 3) Plug in answer into other equation. 4) Check answer! 1) Solve for x or y. The variable x is already by itself.

Notes Ex. Solve the system by substitution. 2) Substitute into other equation. 3) Plug in answer into other equation. 4) Check answer! 1) Solve for x or y. The variable y is already by itself. Now you try.

Notes Ex. Solve the system by substitution. 2) Substitute into other equation. 3) Plug in answer into other equation. 4) Check answer! 1) Solve for x or y. The variable x is already by itself. Step 3 Now you try.

Notes Ex. Solve the system by substitution. 2) Substitute into other equation. 3) Plug in answer into other equation. 4) Check answer! 1) Solve for x or y. The variable x is already by itself. Step 3

Notes Ex. Solve the system by substitution. 2) Substitute into other equation. 3) Plug in answer into other equation. 4) Check answer! 1) Solve for x or y. Step 3

Notes Ex. Solve the system by substitution. 2) Substitute into other equation. 3) Plug in answer into other equation. 4) Check answer! 1) Solve for x or y. Step 3 Now you try.

Class Work Solve the system by substitution.

Class Work Solve the system by substitution.