Day Problems Solve by graphing. Check your solution.

Slides:

Advertisements

Similar presentations

8-2: Solving Systems of Equations using Substitution

Advertisements

Table of Contents Solving Linear Systems of Equations - Substitution Method Recall that to solve the linear system of equations in two variables... we.

SOLVING SYSTEMS USING SUBSTITUTION

Introduction Two equations that are solved together are called systems of equations. The solution to a system of equations is the point or points that.

Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables.

3x – 5y = 11 x = 3y + 1 Do Now. Homework Solutions 2)2x – 2y = – 6 y = – 2x 2x – 2(– 2x) = – 6 2x + 4x = – 6 6x = – 6 x = – 1y = – 2x y = – 2(– 1) y =

GRAPH LINEAR INEQUALITIES IN TWO VARIABLES January 22, 2014 Pages

Solving Linear Systems of Equations - Substitution Method Recall that to solve the linear system of equations in two variables... we need to find the value.

Systems of Equations 7-4 Learn to solve systems of equations.

Textbook Section 6-2.  Students can solve a system of equations using substitution.  Students can classify systems as consistent, inconsistent, dependent,

Factor. 1)x² + 8x )y² – 4y – 21. Zero Product Property If two numbers multiply to zero, then either one or both numbers has to equal zero. If a.

3.2 Solving Equations by Using Addition and Subtraction Addition Property of Equality –If the same number is added to each side of an equation, the resulting.

Chapter 3 –Systems of Linear Equations

Do Now 3x – 6y = -3 2x + 4y = 30.

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

Systems of Equations Standards: MCC9-12.A.REI.5-12

Systems of Linear Equations in Two Variables. 1. Determine whether the given ordered pair is a solution of the system.

Solving Systems of Equations By Substitution – Easier

Systems of Equations: Substitution

Solving Linear Systems by Substitution

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?

3.1 Graphing Systems of Equations Objective – To be able to solve and graph systems of linear equations. State Standard – 2.0 Students solve systems of.

Solve Equations With Variables on Both Sides. Steps to Solve Equations with Variables on Both Sides  1) Do distributive property  2) Combine like terms.

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.

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 Systems Using Substitution Hubarth Algebra.

Solving Systems of Linear Equations in 2 Variables Section 4.1.

3.5 Solving Inequalities with Variables on Both Sides October 16, 2012.

Solving Systems Using Substitution

3-2: Solving Systems of Equations using Substitution

6-2 Solving Systems By Using Substitution

Solving Systems of Equations

6-2 Solving Systems using Substitution

6-2 Solving Systems Using Substitution

Solving Systems using Substitution

Solve a system of linear equation in two variables

3-2: Solving Systems of Equations using Substitution

Solving Systems of Equations using Substitution

Before: November 28, 2017 Solve each system by graphing. 1. y = 2x – 1

Systems of Linear Equations in Two Variables

3-2: Solving Systems of Equations using Substitution

Solve Systems of Linear Equations Substitution

2 Understanding Variables and Solving Equations.

} 2x + 2(x + 2) = 36 2x + 2x + 4 = 36 4x + 4 = x =

Skill Check over Solving Systems by Graphing after Homework Check

12 Systems of Linear Equations and Inequalities.

There are infinite solutions to the system.

Objectives Identify solutions of linear equations in two variables.

Solving systems using substitution

What is the difference between simplifying and solving?

Systems of Equations.

Systems of Equations Solve by Graphing.

Bellwork 1.) How many different ways can 2 lines appear on a graph?

3-2: Solving Systems of Equations using Substitution

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

Warmup Solve the following system using SUBSTITUTION:

Chapter 2: Solving One-step Equations and Inequalities

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

Algebra 1 Section 7.2.

Rewriting Equations Equivalent Equations.

Graph Linear Inequalities in Two Variables

Lesson 0 – 8 Systems of Linear Equations

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

The Substitution Method

Warm- Up: Solve by Substitution

Solve by Substitution 2x + y = 7 3x + 3y = - 3.

Presentation transcript:

Day Problems Solve by graphing. Check your solution. y = x + 2 2. y = 1 y = -2x + 2 y = x Graph each system. Tell whether the system has one solution, no solution, or infinitely many solutions. 3. y = 2x 4. y = -3x + 1 y = 2x – 5 y = 3x + 7

7.2 Solving Systems Using Substitution Another method for solving systems of equations is the substitution method. By replacing one variable with an equivalent expression containing the other variable, you can create a one-variable equation that you can solve.

Using Substitution Solve using substitution. y = -4x + 8 y = x + 7 Step 1 – Write an equation containing only one variable, and solve it. x + 7 = -4x + 8 +4x +4x 5x + 7 = 8 5x = 1 x = 0.2

Using Substitution Solve using substitution. y = -4x + 8 y = x + 7 Step 2 – Solve for the other variable in either equation. y = 0.2 + 7 y = 7.2 Since x = 0.2 and y = 7.2, the solution is (0.2 , 7.2) CHECK 7.2 = -4(0.2) + 8 7.2 = 7.2

Using Substitution and the Distributive Property Solve using the substitution method. 3y + 2x = 4 -6x + y = -7 Step 1 – Solve the second equation for y because it has a coefficient of 1. y = 6x – 7 Step 2 – Write an equation containing only one variable and solve. 3(6x – 7) + 2x = 4 18x – 21 + 2x = 4 20x – 21 = 4 20x = 25 x = 1.25

Using Substitution and the Distributive Property Solve using the substitution method. 3y + 2x = 4 -6x + y = -7 Step 3 - Solve for the other variable in either equation. -6(1.25) + y = -7 -7.5 + y = -7 y = 0.5 Since x = 1.25 and y = 0.5, the solution is (1.25 , 0.5).

More Practice!!! Textbook – p. 350 #2 – 16 all Homework – Worksheet 7.1