4 minutes Warm-Up 1) Determine whether (-1,7) is a solution of the system. 3x – y = -10 -x + y = 8 2) Solve for x where 5x + 3(2x – 1) = 5.

Slides:

Advertisements

Similar presentations

1-8 Solving Equations Using Inverse Operations Objective: Use inverse operations to solve equations.

Advertisements

Solving systems of equations with 2 variables Word problems (Number Problems)

Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.

Purpose: To Solve Word Problems using two variables instead of one. Homework: p ALL.

Solving Equations In Quadratic Form There are several methods one can use to solve a quadratic equation. Sometimes we are called upon to solve an equation.

SOLVING WORD PROBLEMS LESSON 3.

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.

3.5 Solving systems of equations in 3 variables

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Systems of Linear Equations In Two Variables.

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 =

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

3.5 – Solving Systems of Equations in Three Variables.

Equations Reducible to Quadratic

Substitution Method: 1. Solve the following system of equations by substitution. Step 1 is already completed. Step 2:Substitute x+3 into 2 nd equation.

Section 5.3 Solving Systems of Equations Using the Elimination Method There are two methods to solve systems of equations: The Substitution Method The.

Systems of Linear Equations in Two Variables. 1. Determine whether the given ordered pair is a solution of the system.

Solving Linear Systems by Substitution

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

Y=3x+1 y 5x + 2 =13 Solution: (, ) Solve: Do you have an equation already solved for y or x?

The Substitution Method Objectives: To solve a system of equations by substituting for a variable.

Warm-Up 1) Determine whether (-1,7) is a solution of the system. 4 minutes 3x – y = -10 2) Solve for x where 5x + 3(2x – 1) = 5. -x + y = 8.

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

SOLVING SYSTEMS OF EQUATIONS BY SUBSTITUTION. #1. SOLVE one equation for the easiest variable a. Isolated variable b. Leading Coefficient of One #2. SUBSTITUTE.

Notes 6.5, Date__________ (Substitution). To solve using Substitution: 1.Solve one equation for one variable (choose the variable with a coefficient of.

TODAY IN ALGEBRA 2.0…  Review: Solving Linear Systems by Graphing  Learning Goal 1: 3.2 Solving Linear Systems by Substitution with one equation solved.

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

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: Solve the following systems of equations:

Systems of Linear Equations In Two Variables

Equations Quadratic in form factorable equations

Chapter 12 Section 1.

Warm Up Check the solution to these problems; are they correct? If not, correct them. 3 – x = -17; x = -20 x/5 = 6; x = 30.

Warm Up 1/14 Balanced or not? = =

9P9: Solve 2X2 systems by substitution

Notes Over 9.6 An Equation with One Solution

3-2: Solving Systems of Equations using Substitution

6-2 Solving Systems using Substitution

Warm-Up Solve the system by substitution..

Simple linear equation

Solving Linear Systems Algebraically

Solve a system of linear equation in two variables

3.5 Solving systems of equations in 3 variables

3-2: Solving Systems of Equations using Substitution

Solving Systems of Equations using Substitution

Systems of Linear Equations in Two Variables

3-2: Solving Systems of Equations using Substitution

4 minutes Warm-Up Determine the coordinates of each point in the graph below x y A B C D.

Solving Systems of Equation by Substitution

Warm Up #30: Solve by substitution

Objectives Identify solutions of linear equations in two variables.

Solving systems using substitution

Systems of Equations Solve by Graphing.

Warm Up 12/3/2018 Solve by substitution.

Warm-Up 1) Sketch a graph of two lines that will never intersect.

3-2: Solving Systems of Equations using Substitution

Warm Up Check to see if the point is a solution for the

Objective Translate verbal sentences into equations and inequalities.

4 minutes Warm-Up Solve and graph. 1) 2).

9.7 Solving Systems of Equations Algebraically

Equations Quadratic in form factorable equations

8.2 Solving by Substitution

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

6 minutes Warm-Up 1. Find the slope of the line containing the points (-2,5) and (4,6). 2. Find the slope of the line y = x – Find the slope of the.

5 minutes Warm-Up Solve. 2) 1).

3-2: Solving Systems of Equations using Substitution

3-2: Solving Systems of Equations using Substitution

Solving By Substitution

Warm- Up: Solve by Substitution

Presentation transcript:

4 minutes Warm-Up 1) Determine whether (-1,7) is a solution of the system. 3x – y = -10 -x + y = 8 2) Solve for x where 5x + 3(2x – 1) = 5.

5.2 The Substitution Method Objectives: To solve a system of equations by substituting for a variable

Example 1 (2,6) Solve using substitution. y = 3x 2x + 4y = 28

Practice Solve using substitution. x + y = 5 2) a – b = 4 x = y + 1 b = 2 – 5a

Example 2 Solve using substitution. 4x - 3y =11 4x – 3y = 11 4x – 3(-2x + 13) = 11 4x + 6x – 39 = 11 10x – 39 = 11 10x = 50 x = 5 2x + y = 13 2(5) + y = 13 (5,3) 10 + y = 13 y = 3

Practice Solve using substitution. x – 2y = 8 2) y = 3x 2x + y = 8

Example 3 Solve using substitution. The sum of a number and twice another number is 13. The first number is 4 larger than the second number. What are the numbers? Let x = the first number Let y = the second number x + 2y = 13 y + 4 + 2y = 13 x = y + 4 3y + 4 = 13 3y = 9 y = 3 x = y + 4 x = 3 + 4 x = 7

Practice Translate to a system of equations and solve. 1) The sum of two numbers is 84. One number is three times the other. Find the numbers.