Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Solving Systems of Equations by Substitution Method, Summaries of Calculus

Step-by-step instructions on how to solve systems of linear equations using the substitution method. Two scenarios: when one variable is given and when one variable is isolated. For each scenario, the document presents examples and walks through the process of substituting values, solving for the other variable, and checking the solution. Students can use this document as a study aid for understanding the substitution method and solving systems of equations.

What you will learn

  • Can you provide an example of how to use the substitution method to solve a system of linear equations?
  • How do you solve a system of linear equations using the substitution method when one variable is given?
  • What are the steps to solve a system of linear equations using the substitution method when one variable is isolated?

Typology: Summaries

2021/2022

Uploaded on 09/12/2022

shekhar_hin
shekhar_hin ๐Ÿ‡บ๐Ÿ‡ธ

4.9

(9)

226 documents

1 / 3

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Solving Systems by Substitution
Using the substitution method when one variable is given:
Using the substitution method when one variable is given:Using the substitution method when one variable is given:
Using the substitution method when one variable is given:
Step #1: Substitute the value of the given variable into the other equation
Step #2: Solve for other variable by performing the necessary inverse operations
Step #3: Check the solution to make sure it makes both equations true
Step #4: Write your answer as an ordered pair
Solve each system using substitution.
1.)
๎˜
=
5
๎˜„
๎˜
โˆ’
1
=
2
๎˜ˆ
2.)
3
๎˜ˆ
โˆ’
2
๎˜
=
8
๎˜ˆ
=
2
3.)
๎˜
=
โˆ’
2
๎˜„
2
๎˜
+
10
=
3
๎˜ˆ
4.)
๎˜ˆ
=
โˆ’
3
๎˜„
2
๎˜
+
7
+
๎˜ˆ
=
0
5.)
๎˜
โˆ’
4
๎˜ˆ
=
6
๎˜„
๎˜ˆ
=
0
5
6.)
๎˜ˆ
โˆ’
๎˜
=
โˆ’
2
๎˜„
๎˜
=
โˆ’
1
7.)
๎˜
=
โˆ’
8
๎˜„
3
๎˜ˆ
+
๎˜
=
19
8.)
2
๎˜
โˆ’
3
๎˜ˆ
=
โˆ’
5
๎˜ˆ
=
โˆ’
2
pf3

Partial preview of the text

Download Solving Systems of Equations by Substitution Method and more Summaries Calculus in PDF only on Docsity!

Solving Systems by Substitution

Using the substitution method when one variable is given: Using the substitution method when one variable is given:Using the substitution method when one variable is given:

Using the substitution method when one variable is given:

Step #1: Substitute the value of the given variable into the other equation

Step #2: Solve for other variable by performing the necessary inverse operations

Step #3: Check the solution to make sure it makes both equations true

Step #4: Write your answer as an ordered pair

Solve each system using substitution.

Using the substitution method when one variable is isolated:Using the substitution method when one variable is isolated:Using the substitution method when one variable is isolated:Using the substitution method when one variable is isolated:

Step #1: If one variable is isolated, substitute the resulting expression into the other equation

Step #2: Solve for variable by performing the necessary inverse operations

Step #3: Substitute your answer (from step 2) into either equation to solve for the other variable

Step #4: Check solution to make sure it makes both equations true

Step #5: Write your answer as an ordered pair

Solve each system using substitution.

โกฐ

โกฑ