Solving Systems of Equations using Substitution

Slides:

Advertisements

Similar presentations

8-2: Solving Systems of Equations using Substitution

Advertisements

Solve a System Algebraically

Solve an equation with variables on both sides

EXAMPLE 1 Solve a quadratic equation having two solutions Solve x 2 – 2x = 3 by graphing. STEP 1 Write the equation in standard form. Write original equation.

4.3 Systems of Equations - Elimination Objective: The student will be able to: Solve systems of equations using elimination with addition and subtraction.

Do Now Pass out calculators. Solve the following system by graphing: Graph paper is in the back. 5x + 2y = 9 x + y = -3 Solve the following system by using.

3.5 Solving systems of equations in 3 variables

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

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Check it out! 1.3.1: Creating and Graphing Linear Equations in Two Variables 1.

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-Minute Check 1 Use elimination using addition to find the solution Bell Ringer 3-17 (4 minutes ) 1. In order to use elimination with addition, what do.

3.6 Solving Absolute Value Equations and Inequalities

1.3 Solving Systems by Substitution. Steps for Substitution 1.Solve for the “easiest” variable 2.Substitute this expression into the other equation 3.Solve.

5.2: Solving Systems of Equations using Substitution

WARM UP GRAPHING LINES Write the equation in slope- intercept form and then Graph. (Lesson 4.7) 1.3x + y = 1 2.x + y = 0 3.y = -4 3.

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

Warm-Up 1) Determine whether (-1,7) is a solution of the system. 4 minutes 3x – y = -10 2) Solve for x where 5x + 3(2x – 1) = 5. -x + y = 8.

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.

Solving Systems Using Substitution PreAlgebra I can find solutions to systems of linear equations in two variables.

1. Solve the linear system using substitution.

Do-Now Evaluate the expression when x = –3. –5 ANSWER 1. 3x

X.2 Solving Systems of Linear Equations by Substitution

Solving Systems of Equations using Substitution

Solve an equation by multiplying by a reciprocal

9P9: Solve 2X2 systems by substitution

11.3 Solving Linear Systems by Adding or Subtracting

Solve Systems of Equations by Graphing

3-2: Solving Systems of Equations using Substitution

5.2 Solving Systems Using Substitution

6-2 Solving Systems By Using Substitution

Solving Systems of Linear Equations by Substitution

6-2 Solving Systems using Substitution

Warm-Up Solve the system by substitution..

Solve a system of linear equation in two variables

Using Linear Systems.

5 Rational Numbers: Positive and Negative Decimals.

Lesson 7-4 part 3 Solving Systems by Elimination

Lesson 7-4 part 2 Solving Systems by Elimination

3.5 Solving systems of equations in 3 variables

SYSTMES OF EQUATIONS SUBSTITUTION.

3-2: Solving Systems of Equations using Substitution

Solving Two Step Equations 11-1

Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

Lesson 7-4 part 3 Solving Systems by Elimination

Day 2 – Solving Systems by Graphing

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,

Objectives Identify solutions of linear equations in two variables.

Solving systems using substitution

Systems of Equations.

Using Linear Systems CA 9.0.

Warm-Up Solve the system by graphing..

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

Solving Systems of Linear Equations by Substitution

SOLVING SYSTEMS OF EQUATIONS.

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

4 minutes Warm-Up 1) Determine whether (-1,7) is a solution of the system. 3x – y = -10 -x + y = 8 2) Solve for x where 5x + 3(2x – 1) = 5.

The Substitution Method

Warm- Up: Solve by Substitution

Solving Systems of Equations:

SOLVING SYSTEMS OF EQUATIONS.

SOLVING SYSTEMS OF EQUATIONS.

Presentation transcript:

Solving Systems of Equations using Substitution

Solving a system by graphing isn’t always the most effective method. Solve by Graphing Review Solving a system by graphing isn’t always the most effective method.

Steps for Solving Systems using Substitution Solve one of the equations for either x or y. Look for the variable that seems easiest to solve for Substitute that quantity into the other equation. Substitute the first answer into either of the original equations to find the second answer. Check the answer in both equations.

Solve using substitution. Solution is (2, 4)

Solve using substitution.

Solve using substitution.

Solve using substitution.

Solve using substitution.

Solve using substitution.

Chatty Phone charges a flat monthly fee of $20 plus 8¢ a minute. Telco charges $14 plus 10¢ a minute. When do they charge the same? Let m = minutes Let t = total cost Chatty Telco At 300 min. they charge the same.