3.2 Substitution & Elimination

Slides:



Advertisements
Similar presentations
Solving Systems Using Substitution or Elimination Circuit #1 Solve each system using substitution or elimination.
Advertisements

Problem Solving: Using Systems Objective: To Use systems of equations to solve problems.
Chapter 13 Eraser Game!.
Over Lesson 6–3. Splash Screen Solving Systems with Elimination Using Multiplication Lesson 6-4.
Name:__________ warm-up 6-4 Use elimination to solve the system of equations. 5x + y = 9 3x – y = 7 Use elimination to solve the system of equations. 2x.
Jeopardy Solve By Graphing Solve by Substitution Solve by Elimination Solve by Multiply First Extensions
Algebra 7.3 Solving Linear Systems by Linear Combinations.
8.1 Systems of Equations in Two Variables Day 1 Do Now Solve for y 1) X – y = 5 2) 2x + y = 1.
Solving Systems of three equations with three variables Using substitution or elimination.
Equations Ex. 1) 3(2x + 5) = Distribution 6x + 15 = -9 – 15 6x = x = Subtract 15 from both sides. 3. Divide both sides by 6.
Splash Screen. Lesson Menu Five-Minute Check (over Lesson 6–3) CCSS Then/Now Key Concept: Solving by Elimination Example 1:Multiply One Equation to Eliminate.
Pre-AlgebraAlgebra College Algebra GeometryTrigonmetry.
Chapter 3 Linear Systems.
Applying Systems of Equations – Part 2 Honors Math – Grade 8.
3.5 – Solving Systems of Equations in Three Variables.
6.5 – Applying Systems of Linear Equations
Applications for Systems of Equations Algebra I. Example #1  Flying to Ankara with a tailwind a plane averaged 368 mph. On the return trip the plane.
Chapter 7 – Systems of Linear Equations and Inequalities
Lesson 7-4 Elimination Using Multiplication. Use elimination to solve each system of equations. Ex. 1 3x + 4y = 6 5x + 2y = -4 Multiply one equation to.
Can I use elimination to solve this system of equations? 2x + y = 23 3x + 2y = 37.
5-5 Solving Rational Equations and inequalities.  Solve rational equations and inequalities.
 Solve by substitution: 1. y = 2x+3 y = 4x+5 2. A tow company charges $2 per mile plus a fee of $20. Another company charges $5 per mile plus a $10 fee.
Elimination Using Multiplication
Section 7 – 2 Solving Systems Using Substitution
Section 5.3 Solving Systems of Equations Using the Elimination Method There are two methods to solve systems of equations: The Substitution Method The.
3-2 Solving Systems Algebraically: Substitution Method Objective: I can solve a system of equations using the substitution method.
KAYAKING EXAMPLE 4 Write and solve a linear system During a kayaking trip, a kayaker travels 12 miles upstream (against the current) and 12 miles downstream.
BELL RINGER  Yesterday you learned 3 different ways to solve systems of linear equations. Do you have a preference on how to solve systems? Explain.
BINGO Algebra 1 Chapter 8. #1 Determine whether the given pair is a solution of the system. (6, -1); x-y=3 2x+5y=6.
Solving Systems of Equations
Caleb Lacy Austin McKnight 5 th period. Jack’s car broke down the day before his week long business trip. In order to make it he must rent a car. After.
ALGEBRA 1 Lesson 6-2 Warm-Up. ALGEBRA 1 “Solving Systems Using Substitution” (6-2) How do you use the substitution method to find a solution for a system.
Honors Analysis.  Mr. Manker is traveling to California. He drives at a constant pace: 100 miles the first two hours 210 miles the next three hours 240.
Algebra Review. Systems of Equations Review: Substitution Linear Combination 2 Methods to Solve:
Solving Systems of Equations by Elimination (6-3, 6-4) Objective: Solve systems of equations by using elimination with addition, subtraction, and multiplication.
Solving Real World Linear Systems of Equations with Two Variables Objective: Review writing and solving linear systems of equations with two variables.
Linear Systems.  When you have two or more related unknowns, you may be able to represent their relationship with a SYSTEM OF EQUATIONS. This is a.
Algebra 1 Section 3.4 Solve equations with variables on both sides of the equation. Solve: 17 – 2x = x Solve 80 – 9y = 6y.
Elimination Using Multiplication
Today in Algebra 2 Get a calculator. Go over homework Notes: –Solving Systems of Equations using Elimination Homework.
1. Solve the linear system using substitution.
Solving Systems Of Equations Algebraically
Solving Systems of Equations by Elimination2
3.2 Substitution & Elimination
5.3 Solving Systems of Linear Equations by Elimination
3.4 Solving Systems with 3 variables
Warm-Up Graph Solve for y: Graph line #2.
Chapter 3: Linear Systems
Friday Warmup Homework Check: Document Camera.
3-2 Solving Systems Algebraically: Substitution Method
Solving Systems Using Substitution
11.3 Solving Linear Systems by Adding or Subtracting
Lesson 7.3 Solve Linear Systems by Adding or Subtracting
Notes for Algebra 1 Chapter 6.
Critical Thinking Skill: Demonstrate Understanding of Concepts
Solving Systems Using Substitution
Solving Linear Systems Algebraically
5.3 Solving Systems of Linear Equations by Elimination
Elimination Using Multiplication
Warm Up Lesson Presentation Lesson Quiz
Welcome to Interactive Chalkboard
Splash Screen.
Solve Linear Systems by Adding or Subtracting
5-A9 Wind and Current Word Problems
Solving Systems Using Tables and Graphs.
SAT Jeopardy Final Jeopardy Linear Equations Graphing Systems $100
Warm Up Substitute 2y – 1 for x in each equation. Solve for y
1.3 Solving Equations with Variables on Both Sides
5 minutes Warm-Up Solve. 2) 1).
L3-2 Obj: Solve a system by substitution and elimination
Presentation transcript:

3.2 Substitution & Elimination Learning goals solve systems of equations algebraically

Ex 1 Solve using Substitution

Ex 2 Solve using Substitution

Ex 3 Solve using Substitution

Ex 4 Solve using Elimination

Ex 5 Solve using Elimination

Ex 6 Solve using Elimination

Ex 7 An online music company offers 15 downloads for $19.75 and 40 downloads for $43.50. Each price includes the same one-time registration fee. What is the cost of each download and the registration fee?

Ex 8 A student has some $1 bills and $5 bills in his wallet. He has a total of 15 bills that are worth $47. How many of each type of bill does he have?

Ex 9 A youth group with 26 members is going skiing. Each of the five chaperones will drive a van or a car. The vans can seat seven people and the cars can seat five people. Assuming there are no empty seats, how many of each type of vehicle could transport all 31 people to the ski area in one trip?

Ex 10 A fishing boat travels 10 miles down stream in 30 minutes. The return trip takes the boat 40 minutes. Find the rate of the boat in still water..