Solve by graphing: y = -7x + 2 x + 4y = 8 (0,2). Objective: To use the substitution method to solve systems of linear equations.

Slides:

Advertisements

Similar presentations

The student will be able to:

Advertisements

Solving a system of equations by SUBSTITUTION

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

y=3x Find y if x=3 2. Find y if x= -2

A system of linear equations allows the relationship between two or more linear equations to be compared and analyzed. 5.1 – Systems of Linear Equations.

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

Elimination Using Addition and Subtraction. Solving Systems of Equations So far, we have solved systems using graphing and substitution. Solve the system.

The student will be able to:

Objective The student will be able to: solve systems of equations using substitution. December 3, 2014.

1.2 Solving Linear Systems by Substitution 9/19/12.

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.

Objective The student will be able to: solve systems of equations using substitution. SOL: A.9.

Objective The student will be able to: solve systems of equations using substitution (including special cases in which lines are parallel or coinciding)

5.2: Solving Systems of Equations using Substitution

 What is the slope of the line that passes through the following points. 1.(-2, 5) (1, 4)  Identify the slope and y -intercept of each equation. 2.y.

Solving Linear Systems Algebraically with Substitution Section 3-2 Pages

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

Solving Systems of Equations By Substitution – Easier

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

Solving Linear Systems of Equations by Substitution Section 3.2, Part I.

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.

Betty Bob has six more nickels than dimes. The total amount of money she has is $3.30. How many of each coins does she have? Warm Up.

7.2 Solving Systems Using Substitution. 7.2 – Solving Syst. By Subst. Goal / “I can…” Solve systems using substitution.

Solving Systems of Equation Using Subsitution Lesson 6-2 Oct. 24, 2014.

Algebra 1 Review Systems of Linear Equations Using Substitution

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

The student will be able to:

Solving Systems of Equations

Warm Up x = y – 3 9 – 3x 12 9 Simplify each expression.

Solving Systems of Equations with Substitution

The student will be able to:

Math 1201-Unit:7 Systems of Linear equations

The student will be able to:

Solve a system of linear equation in two variables

The student will be able to:

The student will be able to:

The student will be able to:

SYSTMES OF EQUATIONS SUBSTITUTION.

The student will be able to:

The student will be able to:

The student will be able to:

The student will be able to:

3.2a – Solving Systems algebraically

The student will be able to:

The student will be able to:

The student will be able to:

The student will be able to:

The student will be able to:

Maintenance Sheet 18 Due Tomorrow

The student will be able to:

Solving Systems of Equations

Question How do you solve a system of simultaneous equations by substitution?

Objectives Identify solutions of linear equations in two variables.

Systems of Equations.

Solving Systems of Equations

Warm-Up Solve the system by graphing..

The student will be able to:

The student will be able to:

Solving Systems of Equations

The student will be able to:

Solving Systems by Substitution

5.2 Substitution Try this one: x = 4y y = 5x 4x – y = 75 2x + 3y = 34

The student will be able to:

The student will be able to:

The student will be able to:

The student will be able to:

Lesson 0 – 8 Systems of Linear Equations

The student will be able to:

Step 1: Put the equations in Standard Form. Standard Form: Ax + By = C

Presentation transcript:

Solve by graphing: y = -7x + 2 x + 4y = 8 (0,2)

Objective: To use the substitution method to solve systems of linear equations.

Step 1: Solve an equation for one variable. Step 2: Substitute Step 3: Solve the equation. Step 4: Plug back in to find the other variable. Step 5: Check your solution. Pick the easier equation. The goal is to get y= ; x= ; etc. Put the equation solved in Step 1 into the other equation. Get the variable by itself. Substitute the value of the variable into the equation. Substitute your ordered pair into BOTH equations.

x + y = 5 y = 3 + x Step 1 : Solve an equation for one variable. Step 2 : Substitute The second equation is already solved for y! x + y = 5 x + (3 + x) = 5 Step 3 : Solve the equation. 2x + 3 = 5 2x = 2 x = 1

x + y = 5 y = 3 + x Step 4: Plug back in to find the other variable. x + y = 5 (1) + y = 5 y = 4 Step 5: Check your solution. (1, 4) (1) + (4) = 5 (4) = 3 + (1) The solution is (1, 4). What do you think the answer would be if you graphed the two equations?

x = 3 – y x + y = 7 Step 1 : Solve an equation for one variable. Step 2 : Substitute The first equation is already solved for x! x + y = 7 (3 – y) + y = 7 Step 3 : Solve the equation. 3 = 7 The variables were eliminated!! This is a special case. Does 3 = 7? FALSE! When the result is FALSE, the answer is NO SOLUTIONS.

2x + y = 4 4x + 2y = 8 Step 1 : Solve an equation for one variable. Step 2 : Substitute The first equation is easiest to solved for y! y = -2x + 4 4x + 2y = 8 4x + 2(-2x + 4) = 8 Step 3 : Solve the equation. 4x – 4x + 8 = 8 8 = 8 This is also a special case. Does 8 = 8? TRUE! When the result is TRUE, the answer is INFINITELY MANY SOLUTIONS.

2x + y = 9 x + 4y = 1 x – 2y = y 2x – 5y = 4 y = 4x -5 8x – 2y = 20 (5, -1) (12, 4) (No soln)

The sum of two numbers is 5. The larger number exceeds twice the smaller number by 14. Find the numbers.

A pet shop sold 23 puppies and kittens one week. They sold 9 more puppies than kittens. How many of each did they sell?

Jeannette has 20 nickels and dimes worth $1.75. How many of each coin does she have?