Which method should I use?

Slides:



Advertisements
Similar presentations
The student will be able to:
Advertisements

Solve Systems of Equations by Elimination
Solving Systems of three equations with three variables Using substitution or elimination.
Part 2.  Review…  Solve the following system by elimination:  x + 2y = 1 5x – 4y = -23  (2)x + (2)2y = 2(1)  2x + 4y = 2 5x – 4y = -23  7x = -21.
TODAY IN ALGEBRA…  Warm Up: Solving a system by Elimination  Learning Goal: 7.4 You will solve systems of linear equations by Elimination with multiplication.
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.
Objective The student will be able to: solve systems of equations using elimination with multiplication.
Solving Systems of Equations by Elimination
Bell Work2/12/15 Solve the system by elimination..
Elimination Using Addition and Subtraction. Solving Systems of Equations So far, we have solved systems using graphing and substitution. Solve the system.
7.1 SOLVING SYSTEMS BY GRAPHING The students will be able to: Identify solutions of linear equations in two variables. Solve systems of linear equations.
Solving Linear Systems by Linear Combinations
Warm Up What is the opposite of 5? What is the opposite of –2? Distribute 3(x + 2) Distribute –2(x + 4) Distribute –4(x – 3)
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 =
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.
Solving Systems of Equations. Solve systems of equations using addition and subtraction.
Solving Systems of Equations.
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.
Solving by Substitution Method or Elimination (Addition) Method
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.
Solve by Graphing Solve: 3x + 4y = - 4 x + 2y = 2
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.
SOLVING TWO VARIABLE EQUATIONS Brittney. Methods ◦ Graphing ◦ Slope intercept y=mx+b ◦ Standard form Ax+By=C ◦ Substitution ◦ Solve for one variable then.
7.3 Solving Systems of Equations The Elimination Method.
3.2 Solving Systems Algebraically When you try to solve a system of equations by graphing, the coordinates of the point of intersection may not be obvious.
Solving Systems by Elimination 5.4 NOTES, DATE ____________.
Systems of Equations By Substitution and Elimination.
SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION. #1. SOLVE one equation for the easiest variable a. Isolated variable b. Leading Coefficient of One #2. SUBSTITUTE.
Do Now Solve using elimination: 3x + 2y = – 19 – 3x – 5y = 25.
Objective solve systems of equations using elimination.
Task 2.6 Solving Systems of Equations. Solving Systems using Substitution  Solve using Substitution if one variable is isolated!!!  Substitute the isolated.
Warm Up Solve by graphing (in your calculator) 1) 2)
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.
Objective 7.3 To solve systems of equations using elimination with addition and subtraction.
Objective I can solve systems of equations using elimination with addition and subtraction.
Solve by Graphing Solve: 3x + 4y = - 4 x + 2y = 2
Objective I CAN solve systems of equations using elimination with multiplication.
Solve Systems of Equations by Elimination
The student will be able to:
Solve Systems of Equations by Elimination
Solving Systems of Equations
Objective The student will be able to: solve systems of equations using elimination with multiplication.
Warm up + 4x – 3y = 1 + 9y + 4x = -1 Add the following polynomials 2.
Solving a system of equations by elimination using multiplication.
Solving Linear Systems Algebraically
The student will be able to:
The student will be able to:
The student will be able to:
Solving Systems of Equations
Solving systems using substitution
SYSTEMS OF LINEAR EQUATIONS
The student will be able to:
The student will be able to:
Systems of Equations Solve by Graphing.
Solving Systems of Equations
Solving Systems of Equations
SOLVING SYSTEMS OF EQUATIONS.
The student will be able to:
Warm-Up # Is (–1, 4) a solution to
The Substitution Method
Systems of three equations with three variables are often called 3-by-3 systems. In general, to find a single solution to any system of equations,
The student will be able to:
Step 1: Put the equations in Standard Form. Standard Form: Ax + By = C
SOLVING SYSTEMS OF EQUATIONS.
SOLVING SYSTEMS OF EQUATIONS.
Presentation transcript:

Which method should I use? Solving Systems of Equations

Graphing Substitution Elimination Equations in y= form makes this method useful. Graph/grid is given. In contrast, if neither equation has “y” isolated, you are better off using another method. For this , at least one variable in one of the equations should be isolated. Best when “ y= ----” or “x= ---- ” is given. Better choice when algebra is quick but can be tedious if multiple steps. If both equations are in standard form Ax+By=C, If the coefficients of the x’s or y’s in both equations are the same, elimination will get a solution quickly with minimal steps. If sometimes one or both equations have to be multiplied by a number to make the variable cancel, it can lead to extra work.