6.3 Elimination with Multiplication!

Slides:

Advertisements

Similar presentations

Example 1 Solution by Elimination Chapter 7.1 Solve the system  2009 PBLPathways.

Advertisements

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.

Solving Systems of Equations by Elimination

3.5 Solving systems of equations in 3 variables

Bell Work2/12/15 Solve the system by elimination..

5.3 Solving Systems using Elimination

Solving Linear Systems by Linear Combinations

9.2 Solving Systems of Linear Equations by Addition BobsMathClass.Com Copyright © 2010 All Rights Reserved. 1 Step 1.Write both equations in the form Ax.

Warm up Add the following polynomials x + 2y = 10 5y – x = 7 + 4x – 3y = 1 + 9y + 4x = -1.

Objective The student will be able to: solve systems of equations using elimination with addition and subtraction. SOL: A.9 Designed by Skip Tyler, Varina.

Bell Ringer October 14, 2010 y = 7 – 2x 4x + y = 5 Step 1: Put the equations in Standard Form. 2x + y = 7 4x + y = 5 Step 2: Determine which variable to.

SOLVING SYSTEMS ALGEBRAICALLY SECTION 3-2. SOLVING BY SUBSTITUTION 1) 3x + 4y = 12 STEP 1 : SOLVE ONE EQUATION FOR ONE OF THE VARIABLES 2) 2x + y = 10.

EXAMPLE 3 Write the standard equation of a circle The point (–5, 6) is on a circle with center (–1, 3). Write the standard equation of the circle. SOLUTION.

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.

Solving by Substitution Method or Elimination (Addition) Method

Solving Systems Using Elimination

Solving Systems of Equations So far, we have solved systems using graphing and substitution. These notes show how to solve the system algebraically using.

Solve Systems of Equations Using Elimination Section 6.3.

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.

7.3 Solving Systems of Equations The Elimination Method.

Multiply one equation, then add

Solving Systems by Elimination 5.4 NOTES, DATE ____________.

Systems of Equations By Substitution and Elimination.

Solving Systems of Equations Using the Elimination Method.

Solving Systems of Equations The Elimination Method.

In your groups Complete subtraction problems with positive and negative numbers.

3-2: Solving Systems of Equations using Elimination

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.

Multiply to find the number of pictures in all.

Solving Systems of Equations

10.3 Solving Linear Systems

Solving Systems of Equations

Solve Systems of Equations by Elimination

5.3 Solving Systems of Linear Equations by Elimination

Solving Systems of Equations

Knowing your math operation terms

Partial Products Algorithm for Multiplication

3-2: Solving Linear Systems

System of Equations Using Elimination.

Warm up + 4x – 3y = 1 + 9y + 4x = -1 Add the following polynomials 2.

5.3 Solving Systems of Linear Equations by Elimination

Solving Systems of Equations by Elimination

REVIEW: Solving Linear Systems by Elimination

The student will be able to:

Solve Systems of Equations by Elimination

3.5 Solving systems of equations in 3 variables

Notes Solving a System by Elimination

Notes Solving a System by Elimination

SIMULTANEOUS EQUATIONS 1

Solving Systems of Equations

3-2: Solving Linear Systems

Solving Systems of Equations

Warm Up #30: Solve by substitution

The student will be able to:

Solving Systems of Equations

Solving Systems of Equations

Elimination Using Multiplication.

3-2: Solving Linear Systems

Example 2B: Solving Linear Systems by Elimination

Solving Systems of Equations

System of Equations: Elimination

The student will be able to:

6-3 & 6-4 Solving Systems by Elimination

3-2: Solving Linear Systems

Graphing and Elimination

Solving Systems by ELIMINATION

Step 1: Put the equations in Standard Form. Standard Form: Ax + By = C

The student will be able to:

Presentation transcript:

6.3 Elimination with Multiplication! Objective

Bell Work 1. 2. Can you find the smiling penguin? Find two numbers whose sum is 58 and whose difference is 16 21, 37

Elimination using Multiplication #1 Consider the system 6x + 11y = -5 6x + 9y = -3

Elimination using Multiplication Consider the system 6x + 11y = -5 + 6x + 9y = -3 12x + 20y = -8 When we add equations together, nothing cancels out

Elimination using Multiplication Consider the system -1 ( ) 6x + 11y = -5 6x + 9y = -3

Elimination using Multiplication Consider the system - 6x - 11y = 5 + 6x + 9y = -3

Elimination using Multiplication Consider the system 6x + 11y = -5 6x + 9y = -3 Lets substitute y = -1 ANSWER: ( 1, -1 )

You Try 4x + y = 7 4x – 2y = -2 SOLUTION: (1, 3)

Elimination using Multiplication #2 Consider the system x + 2y = 6 Multiply by -3 to eliminate the x term 3x + 3y = -6

Elimination using Multiplication Consider the system -3 ( ) x + 2y = 6 3x + 3y = -6

Elimination using Multiplication Consider the system -3x + -6y = -18 + 3x + 3y = -6

Elimination using Multiplication Consider the system x + 2y = 6 Substitute y = 8 3x + 3y = -6 x + 2(8) = 6 ANSWER: (-10 , 8)

Examples 1. 2. x + 2y = 5 x + 2y = 4 2x + 6y = 12 x - 4y = 16 ANS: (3, 1) ANS: (8, -2)