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.

Slides:

Advertisements

Similar presentations

Use addition to eliminate a variable

Advertisements

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

Solving a System of Equations by ELIMINATION. Elimination Solving systems by Elimination: 1.Line up like terms in standard form x + y = # (you may have.

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

5.3 Solving Systems using Elimination

Solving Systems of Equations

5-4 Elimination Using Multiplication aka Linear Combination Algebra 1 Glencoe McGraw-HillLinda Stamper.

Do Now 1/13/12  In your notebook, list the possible ways to solve a linear system. Then solve the following systems. 5x + 6y = 50 -x + 6y = 26 -8y + 6x.

Goal: Solve systems of linear equations using elimination. Eligible Content: A / A

Goal: Solve a system of linear equations in two variables by the linear combination method.

Solving a System of Equations in Two Variables By Elimination Chapter 8.3.

Bell Ringer 2x – 3y = 4 5x + 3y = 10. HW Check Check elimination part 1 practice.

5.2: Solving Systems of Equations using Substitution

Solving by Elimination Example 1: STEP 2: Look for opposite terms. STEP 1: Write both equations in Standard Form to line up like variables. STEP 5: Solve.

By looking at a graph, name the three types of solutions that you can have in a system of equations. Groupwork graded Groupwork worksheet 1-14 Work on.

Elimination Method: Solve the linear system. -8x + 3y=12 8x - 9y=12.

7.4. 5x + 2y = 16 5x + 2y = 16 3x – 4y = 20 3x – 4y = 20 In this linear system neither variable can be eliminated by adding the equations. In this linear.

Do Now (3x + y) – (2x + y) 4(2x + 3y) – (8x – y)

SECONDARY ONE 6.1a Using Substitution to Solve a System.

Bell Ringer: Combine like terms 1)4x + (-7x) = 2)-6y + 6y = 3)-5 – (-5) = 4)8 – (-8) =

Solving Systems of Linear Equations Elimination. Making Equivalent Equations Multiply the following 3 times x + y = 2 -2 times 3x + y = 3.

SOLVING SYSTEMS USING ELIMINATION 6-3. Solve the linear system using elimination. 5x – 6y = -32 3x + 6y = 48 (2, 7)

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

Multiply one equation, then add

Solving Systems by Elimination 5.4 NOTES, DATE ____________.

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

Solve Linear Systems by Elimination February 3, 2014 Pages

ELIMINATION on a 3x3 1. Line up equations. 2. Perform “elimination” TWICE on the SAME variable using two DIFFERENT pairs of equations. 3. With the 2 equations.

3.2 Solve Linear Systems Algebraically Algebra II.

1.6 Solving Linear Systems in Three Variables 10/23/12.

WARM-UP. SYSTEMS OF EQUATIONS: ELIMINATION 1)Rewrite each equation in standard form, eliminating fraction coefficients. 2)If necessary, multiply one.

Elimination Method - Systems. Elimination Method  With the elimination method, you create like terms that add to zero.

Solving a System of Equations by ELIMINATION. Elimination Solving systems by Elimination: 1.Line up like terms in standard form x + y = # (you may have.

Warm Up Find the solution to linear system using the substitution method. 1) 2x = 82) x = 3y - 11 x + y = 2 2x – 5y = 33 x + y = 2 2x – 5y = 33.

Solve Linear Systems By Multiplying First

6) x + 2y = 2 x – 4y = 14.

Elimination Method Day 1

Solve Systems of Equations by Elimination

Solving Systems of Linear Equations in 3 Variables.

3-2: Solving Systems of Equations using Substitution

Solve Quadratic Systems

REVIEW: Solving Linear Systems by Elimination

Solve Systems of Equations by Elimination

3.5 Solving systems of equations in 3 variables

3-2: Solving Systems of Equations using Substitution

Solving Systems of Equations using Substitution

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

3-2: Solving Systems of Equations using Substitution

Methods to Solving Systems of Equations

Before: December 4, 2017 Solve each system by substitution. Steps:

Notes Solving a System by Elimination

Notes Solving a System by Elimination

Solving Systems of Equations

Warm Up #30: Solve by substitution

3-2: Solving Systems of Equations using Substitution

Solve the linear system.

Example 2B: Solving Linear Systems by Elimination

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

SOLVING SYSTEMS OF EQUATIONS.

The student will be able to:

6-3 & 6-4 Solving Systems by Elimination

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

Solving Systems by ELIMINATION

The Substitution Method

SOLVING SYSTEMS OF EQUATIONS.

SOLVING SYSTEMS OF EQUATIONS.

Presentation transcript:

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 for remaining variable 4.Substitute the value into the starting equation to solve for final variable 5.Write as ordered pair and check

Solve by Substitution 3X + Y = 8 18X + 2Y = 4

Show me how to solve by Substitution !! X = Y + 3 2X + 2Y = 2

Steps for Elimination 1.Line up the equations. 2.Look to see if you add the “columns” if either variable is eliminated. 3.If it isn’t, look to see what you could multiply by to eliminate a variable. 4.Rewrite the equation you need to multiply and multiply the whole equation by that number. 5.Rewrite the other equation under it. 6.Add the “columns.” 7.Solve for that variable. 8.Substitute that answer into one of the original equations and solve for the other variable. 9.Write it as an ordered pair.

Solve by Elimination 2X + Y = 8 X – Y = 10 X – Y = 10

Solve by Elimination 3X + Y = 8 18X + 2Y = 4

Solve by Elimination X + Y = 4 2X + 3Y = 9

2X – 4Y = 5 –X + 2Y = 8 Solve by Elimination

4Y + 30 = 10X 5X – 2Y = 15

– 4.5x + 7.5Y = – 9 3x – 5Y = 6 3x – 5Y = 6 Multiply by ten to eliminate decimals. – 45X+ 75 Y= – 90 3X – 5Y = 6 3X – 5Y = 6 Y u c k ! !

2x – 3y + 4z = 8 3x + 2y = 7 x = 1 What size is the system?

Let’s look at Page 15 # 22 Take the words and build a system of equations.

Assignment