D AY 83 – B USINESS P ROJECT. W ORD P ROBLEM Mrs. Smith decided to purchase candy for her whole class as a treat. She bought Smarties and Dum-Dum lollipops.

Slides:

Advertisements

Similar presentations

SOLUTION EXAMPLE 1 Multiply one equation, then add Solve the linear system: 6x + 5y = 19 Equation 1 2x + 3y = 5 Equation 2 STEP 1 Multiply Equation 2 by.

Advertisements

Table of Contents First, find the least common denominator (LCD) of all fractions present. Linear Equations With Fractions: Solving algebraically Example:

Table of Contents Recall that to solve the linear system of equations in two variables... we needed to find the values of x and y that satisfied both equations.

Table of Contents Solving Linear Systems of Equations - Substitution Method Recall that to solve the linear system of equations in two variables... we.

Solve each with substitution. 2x+y = 6 y = -3x+5 3x+4y=4 y=-3x- 3

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.

Systems of Equations SPI Solve systems of linear equation/inequalities in two variables.

©Evergreen Public Schools Learning Target I can write and solve problems with two variables algebraically by using the elimination method. What.

Lesson 2-4. Many equations contain variables on each side. To solve these equations, FIRST use addition and subtraction to write an equivalent equation.

5-3 Solving systems by Elimination

Solving Systems of Equations by Elimination

Table of Contents Solving Linear Systems of Equations - Addition Method Recall that to solve the linear system of equations in two variables... we need.

Let’s Play a Game…. Pull out a piece of paper (rip it in half) Write down a Number (any number you want) Call it x ( x = ____ ) Now Pick Another Number.

Solving Systems of Equations

4.4 & 4.5 Notes Remember: Identity Matrices: If the product of two matrices equal the identity matrix then they are inverses.

Elimination Link to video. Example: Find the P.O.I. by elimination for and Steps Example 1a. Rearrange one (or both) of the equations so that the x’s.

Inverses and Systems Section Warm – up:

Using Matrices to Solve Systems of Equations Matrix Equations l We have solved systems using graphing, but now we learn how to do it using matrices.

Advanced Algebra II Notes 6.4 Solving Systems with Inverse Matrices Solve the system of equations using elimination: 2x + y = 5 5x + 3y = 13 Write the.

Lesson 6.3.  Three friends, Duane, Marsha, and Parker, decide to take their younger siblings to the movies. Before the movie, they buy some snacks at.

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

Holt Algebra Solving Two-Step and Multi-Step Equations 2-3 Solving Two-Step and Multi-Step Equations Holt Algebra 1 Warm Up Warm Up Lesson Quiz Lesson.

Solving Linear Systems of Equations - Addition Method Recall that to solve the linear system of equations in two variables... we need to find the values.

Solving a System of Equations in Two Variables By Elimination Chapter 8.3.

MFM 2P Minds On Add or Subtract the following equations in order to make “y” equal 0.

Happy Halloween Handbook on Equations

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.

3.2 Solving Linear Systems Algebraically Honors. 2 Methods for Solving Algebraically 1.Substitution Method (used mostly when one of the equations has.

Review 3-1 and 3-2 SLIDE SHOW. Solve the linear system using the substitution method. 3 x + 4y  – 4 Equation 1 x + 2y  2 Equation 2 x + 2y  2 x  –

Elimination Method: Solve the linear system. -8x + 3y=12 8x - 9y=12.

ALGEBRA – LESSON 89 Value Problems Be ready to grade the homework!

4.8 Using matrices to solve systems! 2 variable systems – by hand 3 or more variables – using calculator!

CONFIDENTIAL 1 Solving Two-Step and Multi-Step Equations.

Holt McDougal Algebra Solving Systems by Elimination Solve systems of linear equations in two variables by elimination. Compare and choose an appropriate.

Elimination using Multiplication Honors Math – Grade 8.

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.

Solve Systems of Equations by Elimination

Solving Systems of Linear Equations by Addition

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

Solve an equation by multiplying by a reciprocal

Solving Systems of Linear Equations by Addition

Multiplying or Dividing 1-3

Solving One-Step Equations

Solve Systems of Equations by Elimination

Objective Solve one-step equations in one variable by using multiplication or division.

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

1.3 Equations with variables on both sides

Solving Equations Containing Decimals

Solving Linear Equations

Lesson 7.4 Solving by Multiplication

SIMULTANEOUS EQUATIONS 1

Solving a System of Equations in Two Variables by the Addition Method

Solving Equations with Variables on Both Sides

Objective Solve one-step equations in one variable by using multiplication or division.

Solving Equations with Variables on Both Sides

Elimination Using Multiplication.

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

Solve the linear system.

6.3 Using Elimination to Solve Systems

Example 2B: Solving Linear Systems by Elimination

1.11 Use Inverse Matrices to Solve Linear Systems

Bell Work Solve for “x” and check your solution

Solving Systems by ELIMINATION

The Substitution Method

Day 83 – Business Project.

Solving Systems of Linear Equations by Elimination

Presentation transcript:

D AY 83 – B USINESS P ROJECT

W ORD P ROBLEM Mrs. Smith decided to purchase candy for her whole class as a treat. She bought Smarties and Dum-Dum lollipops as “brain food” for their next exam. Each bag of Smarties cost $7.00 (including tax). The bag of Dum-Dum lollipops cost $8.50 (including tax). She ended up spending $60.50 on her purchase of 8 items.

Number of Smarties Bags Number of Dum- Dum lollipops Bags Total Cost for 8 Items ($) Using the information from the previous slide, complete the following table: 2. Circle the row that has a total cost of $60.50.

Number of Smarties Bags Number of Dum- Dum lollipops Bags Total Cost for 8 Items ($) 08 $ $ $ $ $ $ $ $ $ Using the information from the previous slide, complete the following table: 2. Circle the row that has a total cost of $60.50.

3.How many bags of Smarties did Mrs. Smith buy? 4. How many bags of Dum-Dum lollipops did Mrs. Smith buy? 5. Define your variables.

3.How many bags of Smarties did Mrs. Smith buy? 5 4. How many bags of Dum-Dum lollipops did Mrs. Smith buy? 3 5. Define your variables. x = number of Smarties bags y = number of Dum-Dum lollipop bags

6. Write a system of equations to model the situation.

Items: Cost:

7. How many bags of Smarties did Mrs. Smith buy?

Finding the number of Smarties bags means I should eliminate y since that is the variable that defines Dum-Dum lollipop bags. (multiply this equation by to eliminate y) (nothing needs to change here)

8. How many bags of Dum-Dum lollipops did Mrs. Smith buy?

Finding the number of Dum-Dum lollipop bags means I should eliminate x since that is the variable that defines Smarties bags. (multiply this equation by to eliminate x) (nothing needs to change here)

S OLVE 2 1

A NSWER K EY Multiply each side of Equation 1 by ─1. Now the coefficients of these y terms are additive inverses, Substitute x = ─ 5 in Equation 1 or in Equation 2. The check is left for you.

S OLVE 2 1

A NSWER K EY Multiply each side of Equation 1 by 2 and multiply each side of Equation 2 by 3. Then the y terms will be additive inverses of each other 2(2x + 3y) = 2(─1) 3(5x ─ 2y) = 3(─12) Substitute x = ─ 2 in Equation 1 The check is left for you.