Solve systems of equations using ELIMINATION

Slides:

Advertisements

Similar presentations

Solving Linear Equations – Part 2 A Linear Equation in One Variable is any equation that can be written in the form It is assumed that you have already.

Advertisements

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

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

Solving Linear Equations

Solve Systems of Linear Equations Using Elimination Honors Math – Grade 8.

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

Solving Systems of Equations. Solve systems of equations using addition and subtraction.

Solving a System of Equations with the Elimination Method.

Solving Systems of Equations using Elimination. Solving a system of equations by elimination using multiplication. Step 1: Put the equations in Standard.

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.

6.6 DAY 2: More Elimination. 1. Line terms up vertically 2. Make sure one of the variables has opposite coefficients (Today, it is by multiplying…Like.

Notes – 2/13 Addition Method of solving a System of Equations Also called the Elimination Method.

Example 1: Solve. 4x + 6 = x 4x + 6 = x – 4x – 4x Subtract 4x from both sides. 6 = –3x 6 –3 –3x = Divide both sides by –3. –2 = x.

Lesson 7.4A Solving Linear Systems Using Elimination.

6.2 Solve a System by Using Linear Combinations

Solve Systems of Equations Using Elimination Section 6.3.

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

Multiply one equation, then add

Solving Systems by Elimination 5.4 NOTES, DATE ____________.

7-3: Solving Systems of Equations using Elimination

Elimination using Multiplication Honors Math – Grade 8.

Objective solve systems of equations using elimination.

Chapter 5: Systems of Linear Equations Section 5.1: Solving Systems of Linear Equations by Elimination.

Objective The student will be able to: solve systems of equations using elimination with addition and subtraction.

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

The student will be able to:

Solve Linear Systems By Multiplying First

3.2.1 – Solving Systems by Combinations

X.3 Solving Systems of Linear Equations by Elimination

5.3 Elimination Using Addition and Subtraction

Solving Systems of Equations using Elimination

Objective I CAN solve systems of equations using elimination with multiplication.

Solve Systems of Equations by Elimination

Solving Systems of Linear Equations in 3 Variables.

Algebra 1 Section 7.3 Solve linear systems by linear combinations

The student will be able to:

Solve for variable 3x = 6 7x = -21

6-3 Bellwork Solve each system by using substitution

Solving Systems of Equations

The student will be able to:

Solving a system of equations by elimination using multiplication.

Lesson 5-3 Solving Systems by Elimination

The student will be able to:

Solve Systems of Equations by Elimination

Solving Equations with Variables on Both Sides

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

Objectives Solve systems of linear equations in two variables by elimination. Compare and choose an appropriate method for solving systems of linear equations.

Solving Linear Equations

Solve systems of equations using ELIMINATION

Notes Solving a System by Elimination

Notes Solving a System by Elimination

The student will be able to:

The student will be able to:

Simultaneous Equations starter

Solving Equations by Combining Like Terms

The student will be able to:

Solving Systems of Linear Equations in 3 Variables.

Warm Up 12/3/2018 Solve by substitution.

Warm Up Simplify each expression. 1. 3x + 2y – 5x – 2y

The student will be able to:

Solving Systems of Equations

The student will be able to:

The student will be able to:

The student will be able to:

Solving Systems by ELIMINATION

Solving Linear Equations

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

The student will be able to:

Solve systems of equations using ELIMINATION

Presentation transcript:

Solve systems of equations using ELIMINATION

Eliminate means to get rid of, so we are going to eliminate one variable to solve for the other. STEPS: 1) Line up equations so like terms are on top of each other 2) Eliminate one term BY (+ OR -) 3) Combine like terms 4) Solve for the variable that is left 5) Substitute to solve for the other variable

Elimination Using ___________ and _____________ works best when the coefficient on like terms are the ___________________of one another. Like Terms Opposites 2x and 2x 3x and -3x, 4y and 4y -5y and 5y Addition Subtraction same or opposite

When the coefficients are the same and you want to eliminate them, you need to _____________. subtract When the coefficients are opposites and you want to eliminate them, you need to______ . add

Solve using elimination by ADDITION or SUBTRACTION. 3x – 2y = 13 x + 2y = 7 3x – 5y = 3 4x + 5y = 4

– 4x + 2y = 8 4x – 3y = – 10 x – y = 4 x + y = 2

Solve using elimination by ADDITION or SUBTRACTION. 5x – y = – 6 – x + y = 2 6) x – y = 14 x + y = 20

Solve using elimination by ADDITION or SUBTRACTION. 7) 2x + 9y = 25 4x + 9y = 23 8) 7x + 2y = 24 8x + 2y = 30

Solve using elimination by ADDITION or SUBTRACTION. 9) 2x + 5y = 0 x + 5y = -10 10) 7x + 8y = 20 7x – y = 29

End Day #1

Sometimes you will not be given two equations that have LIKE TERMS or OPPOSITES already written. When this happens you can multiple one equation, or BOTH equations by a number to create like terms or opposites.

Solve using elimination by MULTIPLICATION. 11) 8x + 14y = 4 -6x – 7y = -10 12) -4x -15y = -17 -x + 5y = -13

Solve using elimination by MULTIPLICATION. 13) 4x – 2y = 20 -8x – 3y = 16 14) 5x – 3y = -28 4x + 6y = -14

Application 15) Sam spent $24.75 to buy a dozen flowers for his mother. The bouquet contained roses and daisies. (Roses cost $2.50; Daisies cost $1.75) How many of each type of flower did Sam buy?