/
6.2 Solving Systems Using Substitution 6.2 Solving Systems Using Substitution

6.2 Solving Systems Using Substitution - PowerPoint Presentation

calandra-battersby
calandra-battersby . @calandra-battersby
Follow
399 views
Uploaded On 2018-03-17

6.2 Solving Systems Using Substitution - PPT Presentation

I can solve systems of linear equations by using substitution Try This Solve the following system by substituting y 3x and x y 32 8 24 How to U se Substitution Solve one of the equations for one of the variables ID: 655145

variables solve equation substitution solve variables substitution equation systems small large system substitute equations cancel left sold 220 easiest

Share:

Link:

Embed:

Download Presentation from below link

Download Presentation The PPT/PDF document "6.2 Solving Systems Using Substitution" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.


Presentation Transcript

Slide1

6.2 Solving Systems Using Substitution

I can solve systems of linear equations by using substitution.Slide2

Try This

Solve the following system by substituting:

y = 3x and x + y = -32

(-8, -24)Slide3

How to Use Substitution

Solve one of the equations for one of the variables.

Isolate one of the variables in one of the equations.

Choose whichever seems easiest.

Substitute the expression for the variable in the other equation.

Use substitution when a system has at least one equation that can be solved quickly for one of the variables.Slide4

Practice

Solve the following system:

3y + 4x = 14

-2x + y = -3

The second equation looks easiest to solve for

y

So y = 2x – 3

Substitute 2x – 3 for

y

in the other equation

3(2x – 3) + 4x = 14

Solve for x

x = 2.3

Now substitute 2.3 for x in either equation

y = 1.6

The solution is (2.3, 1.6)Slide5

You Try

Solve the system using substitution

6y + 5x = 10

x

+ 3y = -7

(8, -5)Slide6

Using Systems

A large snack pack costs $5 and a small costs $3. If 60 snack packs are sold, for a total of $220, How many were large and how many were small?

Let x = large and y = small

Money: 5x + 3y = 220

Amount sold: x + y = 60

Solve: (20, 40)

20 large and 40 smallSlide7

Practice

x = -2y + 4

3.5x +7y = 14

Infinitely ManySlide8

Special Systems

When variables cancel and you are left with a true statement, there are

infinitely many

solutions.

When variables cancel and you are left with a false statement, there are

no solutions

.Slide9

Assignment

Odds p.375 #11-35