Systems of equations By Bradley lenaway. Math is as easy as 1,2,3.

Slides:

Advertisements

Similar presentations

Learn to use slopes and intercepts to graph linear equations.

Advertisements

Solving 2 Step Equations

COMPASS Algebra Practice Test H This practice test is 10 items long. Record your responses on a sheet of paper. The correct answers are on the slide after.

EXAMPLE 4 Solve proportions SOLUTION a x 16 = Multiply. Divide each side by 10. a x 16 = = 10 x5 16 = 10 x80 = x8 Write original proportion.

EXAMPLE 4 Solve proportions SOLUTION a x 16 = Multiply. Divide each side by 10. a x 16 = = 10 x5 16 = 10 x80 = x8 Write original proportion.

Solve an equation with variables on both sides

4.3 Systems of Equations - Elimination Objective: The student will be able to: Solve systems of equations using elimination with addition and subtraction.

Step 1: Simplify Both Sides, if possible Distribute Combine like terms Step 2: Move the variable to one side Add or Subtract Like Term Step 3: Solve for.

Solving Systems Using Elimination Objective: To solve systems of equations algebraically.

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

5.3 Solving Systems using Elimination

Systems of Linear Equations Solving 2 Equations. Review of an Equation & It’s Solution Algebra is primarily about solving for variables. The value or.

Graphing Systems of Equations Graph of a System Intersecting lines- intersect at one point One solution Same Line- always are on top of each other,

By: Sriya Neelam.  Key words…………………………………… Slide 3  Problem to practice…………………… Slide 4  Real life example……………………….. Slide 5  Bibliography…………………………………

7.3 Solving Systems of Equations by Elimination (Addition & Subtraction) Solve by Elimination Example Problems Practice Problems.

Warm up Add the following polynomials x + 2y = 10 5y – x = 7 + 4x – 3y = 1 + 9y + 4x = -1.

The school that Stefan goes to is

Solve a logarithmic equation

Factoring Using the Distributive Property Chapter 9.2.

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.

Math /4.2/4.3 – Solving Systems of Linear Equations 1.

Elimination!. “You can be GREAT if you can ELIMINATE!” “You can be GREAT if you can ELIMINATE!”

Solve an equation by combining like terms EXAMPLE 1 8x – 3x – 10 = 20 Write original equation. 5x – 10 = 20 Combine like terms. 5x – =

Dr. Fowler CCM Solving Systems of Equations By Substitution – Harder.

Solving A System Of Equations By: Stephanie Heaton.

Systems of equations By Bradley lenaway. Math is as easy as 1,2,3.

Example 1 Solving Two-Step Equations SOLUTION a. 12x2x + 5 = Write original equation. 112x2x + – = 15 – Subtract 1 from each side. (Subtraction property.

Solving Linear Equations Substitution. Find the common solution for the system y = 3x + 1 y = x + 5 There are 4 steps to this process Step 1:Substitute.

Solving Systems of Equations By Substitution – Easier

Use the substitution method

Solving Systems of Equations By Elimination. Warm – up!! *As you walk in, please pick up your calculator!!* Use substitution to solve the following systems.

SECONDARY ONE 6.1a Using Substitution to Solve a System.

Steps for Solving Equations with Variables on Both Sides 1.Distribute when necessary. 2.Combine like terms if possible. 3.Add or subtract to get the variables.

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 TWO VARIABLE EQUATIONS Brittney. Methods ◦ Graphing ◦ Slope intercept y=mx+b ◦ Standard form Ax+By=C ◦ Substitution ◦ Solve for one variable then.

Multiply one equation, then add

BY: JAKE COVEY NATHAN HENKE ZACH BASSUENER Math Project.

Systems of equations 2 equations 2 Variables Graphically Substitution Elimination.

Solving inequalities. An equation. Solve this and graph the answer on a number line: x - 2 = 5.

Chapter 3 Lesson 2 Solving Systems of Equations Algebraically.

Substitution Method: Solve the linear system. Y = 3x + 2 Equation 1 x + 2y=11 Equation 2.

Rewrite a linear equation

Section 1-3: Solving Equations 8/29/17

Objective I can solve systems of equations using elimination with addition and subtraction.

Solving Systems of Equations

The student will be able to:

Algebraic Inequalities

6-2 Solving Systems By Using Substitution

Solve Quadratic Systems

The student will be able to:

Warm up + 4x – 3y = 1 + 9y + 4x = -1 Add the following polynomials 2.

Solving Systems Check Point Quiz Corrections

The student will be able to:

FRONT No Solutions Infinite Solutions 1 solution (x, y)

The student will be able to:

Solving Systems of Equations

The student will be able to:

The student will be able to:

Systems of Equations Solve by Graphing.

Mrs. Brown Maternity Leave

Solving Systems of Equations

Adding integers Subtracting integers 2.4 Multiplying and

Example 2B: Solving Linear Systems by Elimination

11.6 Systems of Equations.

The student will be able to:

EXAMPLE 4 Solve proportions Solve the proportion. ALGEBRA a x 16

The student will be able to:

Indicator 16 System of Equations.

Presentation transcript:

Systems of equations By Bradley lenaway

Math is as easy as 1,2,3

Question Claire has $54 to buy CD’s and books. Each CD costs $9, and each book costs $6.she wants to buy exactly 7 items. Write and solve a system of equations that could be used to determine the number of CD’s and the number of books Claire buys.

Substitution One way to solve this problem is by the Substitution method, I am going to use this method in this slide. CD’s- X Books- Y First you have to solve for Y. X+Y=7 (this is how many items she can buy.) 9X+6Y=$54 (how much money she has.) X+Y=7 -X Y=-X=7

Substitution (part 2) After getting (Y) you have to plug it into the other problem where (Y) is. Then you have to distribute it You get this Y=(-X+7) 9X+6(-X+7)=54 this plugging in the (Y) 9X-6X+42=54

Substitution (part 3) After getting (9X- 6X+42=54) you then have to solve for (X) First subtract 9X-6X After doing that you have to move(42) by subtracting. Then divide (-3X) on both sides. You should get (4) 9X-6X+42=54 -3x+42= X= 12 -3X -3X X=4

Elimination You can also get the same answer by another method called Elimination. First put your two equations one on top of another After doing so you then have to cancel out (Y) or (X). in this case I'm going to cancel out (Y) by multiplying (-6) by the whole equation. X+Y=7 9X+6Y=$54 -6(X+Y=7)

Elimination (part 2) After multiplying (-6) you the have to subtract both equations (-6Y) and (6Y) cancel out. So you get (3X=12) You then divide both sides by (3X) And you should get (4) -6X-6Y=42 - 9X+6Y=54 3X=12 3X 3X X=4

Graphing First you have to find (Y) for both of the equations. By subtracting (X) on both sides X+Y=7 -X -X Y=-X+7 9X+6Y=54 -9X -9X

Graphing (part 2) After getting (X) you have to divide any equation that has a number in front of (Y) by that number to get (Y) for that equation 6Y=-9X Y=-9/6X+9

Graphing (part 3) Then once you have both equation you plug it into the graph and the point at which they cross (the solution) that is you answer. Witch is Solution

All in all….. I think that all of these methods are good but I have to say that the easiest (in my opinion) is Elimination. I think this is the best way to do this because there is a lot less steps there are into solving the equation.

THE END