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High School Math Algebra High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

To solve the system on equations by substitution or elimination method. The solution is − 2 , − 1 . Given information: Solve the system on equations by substitution or elimination method. 2 x + 4 y = − 8 − 5 x + 4 y = 6 Calculation: 2 x + 4 y = − 8 − 5 x + 4 y = 6 The first given equation is: 2 x + 4 y = − 8 Solve the first equation for one of variable as follows: 2 x + 4 y = − 8 ⇒ 4 y = − 8 − 2 x ⇒ y = − 8 − 2 x 4 Substitute the value of y in second equation and solve for x : − 5 x + 4 y = 6 ⇒ − 5 x + 4 − 8 − 2 x 4 = 6 ⇒ − 5 x + − 8 − 2 x = 6 ⇒ 5 x − 8 − 2 x = 6 Combine like terms ⇒ − 7 x − 8 = 6 ⇒ − 7 x = 14 ∴ x = − 2 Substitute the value of x in the first equation: 2 x + 4 y = − 8 ⇒ 2 − 2 + 4 y = − 8 ⇒ − 4 + 4 y = − 8 ⇒ y = − 4 ∴ y = − 1

To solve the system on equations by substitution or elimination method. The solution is − 2 , − 1 . Given information: Solve the system on equations by substitution or elimination method. 2 x + 4 y = − 8 − 5 x + 4 y = 6 Calculation: 2 x + 4 y = − 8 − 5 x + 4 y = 6 The first given equation is: 2 x + 4 y = − 8 Solve the first equation for one of variable as follows: 2 x + 4 y = − 8 ⇒ 4 y = − 8 − 2 x ⇒ y = − 8 − 2 x 4 Substitute the value of y in second equation and solve for x : − 5 x + 4 y = 6 ⇒ − 5 x + 4 − 8 − 2 x 4 = 6 ⇒ − 5 x + − 8 − 2 x = 6 ⇒ 5 x − 8 − 2 x = 6 Combine like terms ⇒ − 7 x − 8 = 6 ⇒ − 7 x = 14 ∴ x = − 2 Substitute the value of x in the first equation: 2 x + 4 y = − 8 ⇒ 2 − 2 + 4 y = − 8 ⇒ − 4 + 4 y = − 8 ⇒ y = − 4 ∴ y = − 1

Solution Summary: The author explains how to solve the system on equations by substitution or elimination method.

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

15th Edition

ISBN: 9780133281163

Author: Prentice Hall

Publisher: Prentice Hall

See similar textbooks

Expert Solution & Answer

Chapter 3.3, Problem 66PPSE

Solution

To find: To solve the system on equations by substitution or elimination method.

The solution is −2, −1 .

Given information: Solve the system on equations by substitution or elimination method.

2x+4y=−8 − 5x+4y=6

Calculation:

2x+4y=−8 − 5x+4y=6

The first given equation is:

2x+4y=−8

Solve the first equation for one of variable as follows:

2x+4y=−8 ⇒ 4y=−8−2x⇒ y=−8−2x4

Substitute the value of y in second equation and solve for x :

− 5x+4y=6⇒−5x+4−8−2x4=6⇒ −5x+−8−2x=6⇒ 5x−8−2x=6 Combine like terms⇒ −7x−8=6⇒ −7x=14 ∴ x=−2

Substitute the value of x in the first equation:

2x+4y=−8⇒2−2+4y=−8⇒ −4+4y=−8⇒ y=−4 ∴ y=−1

Chapter 3.3, Problem 65PPSE

Chapter 3.3, Problem 67PPSE

Chapter 3 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 3.1 - Prob. 1LC Ch. 3.1 - Prob. 2LC Ch. 3.1 - Prob. 3LC Ch. 3.1 - Prob. 4LC Ch. 3.1 - Prob. 5LC Ch. 3.1 - Prob. 6LC Ch. 3.1 - Prob. 7PPSE Ch. 3.1 - Prob. 8PPSE Ch. 3.1 - Prob. 9PPSE Ch. 3.1 - Prob. 10PPSE

Ch. 3.1 - Prob. 11PPSE Ch. 3.1 - Prob. 12PPSE Ch. 3.1 - Prob. 13PPSE Ch. 3.1 - Prob. 14PPSE Ch. 3.1 - Prob. 15PPSE Ch. 3.1 - Prob. 16PPSE Ch. 3.1 - Prob. 17PPSE Ch. 3.1 - Prob. 18PPSE Ch. 3.1 - Prob. 19PPSE Ch. 3.1 - Prob. 20PPSE Ch. 3.1 - Prob. 21PPSE Ch. 3.1 - Prob. 22PPSE Ch. 3.1 - Prob. 23PPSE Ch. 3.1 - Prob. 24PPSE Ch. 3.1 - Prob. 25PPSE Ch. 3.1 - Prob. 26PPSE Ch. 3.1 - Prob. 27PPSE Ch. 3.1 - Prob. 28PPSE Ch. 3.1 - Prob. 29PPSE Ch. 3.1 - Prob. 30PPSE Ch. 3.1 - Prob. 31PPSE Ch. 3.1 - Prob. 32PPSE Ch. 3.1 - Prob. 33PPSE Ch. 3.1 - Prob. 34PPSE Ch. 3.1 - Prob. 35PPSE Ch. 3.1 - Prob. 36PPSE Ch. 3.1 - Prob. 37PPSE Ch. 3.1 - Prob. 38PPSE Ch. 3.1 - Prob. 39PPSE Ch. 3.1 - Prob. 40PPSE Ch. 3.1 - Prob. 41PPSE Ch. 3.1 - Prob. 42PPSE Ch. 3.1 - Prob. 43PPSE Ch. 3.1 - Prob. 44PPSE Ch. 3.1 - Prob. 45PPSE Ch. 3.1 - Prob. 46PPSE Ch. 3.1 - Prob. 47PPSE Ch. 3.1 - Prob. 48PPSE Ch. 3.1 - Prob. 49PPSE Ch. 3.1 - Prob. 50PPSE Ch. 3.1 - Prob. 51PPSE Ch. 3.1 - Prob. 52PPSE Ch. 3.1 - Prob. 53PPSE Ch. 3.1 - Prob. 54PPSE Ch. 3.1 - Prob. 55PPSE Ch. 3.1 - Prob. 56PPSE Ch. 3.2 - Prob. 1LC Ch. 3.2 - Prob. 2LC Ch. 3.2 - Prob. 3LC Ch. 3.2 - Prob. 4LC Ch. 3.2 - Prob. 5LC Ch. 3.2 - Prob. 6LC Ch. 3.2 - Prob. 7LC Ch. 3.2 - Prob. 8LC Ch. 3.2 - Prob. 9LC Ch. 3.2 - Prob. 10PPSE Ch. 3.2 - Prob. 11PPSE Ch. 3.2 - Prob. 12PPSE Ch. 3.2 - Prob. 13PPSE Ch. 3.2 - Prob. 14PPSE Ch. 3.2 - Prob. 15PPSE Ch. 3.2 - Prob. 16PPSE Ch. 3.2 - Prob. 17PPSE Ch. 3.2 - Prob. 18PPSE Ch. 3.2 - Prob. 19PPSE Ch. 3.2 - Prob. 20PPSE Ch. 3.2 - Prob. 21PPSE Ch. 3.2 - Prob. 22PPSE Ch. 3.2 - Prob. 23PPSE Ch. 3.2 - Prob. 24PPSE Ch. 3.2 - Prob. 25PPSE Ch. 3.2 - Prob. 26PPSE Ch. 3.2 - Prob. 27PPSE Ch. 3.2 - Prob. 28PPSE Ch. 3.2 - Prob. 29PPSE Ch. 3.2 - Prob. 30PPSE Ch. 3.2 - Prob. 31PPSE Ch. 3.2 - Prob. 32PPSE Ch. 3.2 - Prob. 33PPSE Ch. 3.2 - Prob. 34PPSE Ch. 3.2 - Prob. 35PPSE Ch. 3.2 - Prob. 36PPSE Ch. 3.2 - Prob. 37PPSE Ch. 3.2 - Prob. 38PPSE Ch. 3.2 - Prob. 39PPSE Ch. 3.2 - Prob. 40PPSE Ch. 3.2 - Prob. 41PPSE Ch. 3.2 - Prob. 42PPSE Ch. 3.2 - Prob. 43PPSE Ch. 3.2 - 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Prob. 62PPSE Ch. 3.3 - Prob. 63PPSE Ch. 3.3 - Prob. 64PPSE Ch. 3.3 - Prob. 65PPSE Ch. 3.3 - Prob. 66PPSE Ch. 3.3 - Prob. 67PPSE Ch. 3.3 - Prob. 68PPSE Ch. 3.3 - Prob. 69PPSE Ch. 3.3 - Prob. 70PPSE Ch. 3.3 - Prob. 71PPSE Ch. 3.3 - Prob. 72PPSE Ch. 3.4 - Prob. 1LC Ch. 3.4 - Prob. 2LC Ch. 3.4 - Prob. 3LC Ch. 3.4 - Prob. 4LC Ch. 3.4 - Prob. 5LC Ch. 3.4 - Prob. 6LC Ch. 3.4 - Prob. 7LC Ch. 3.4 - Prob. 8LC Ch. 3.4 - Prob. 9LC Ch. 3.4 - Prob. 10PPSE Ch. 3.4 - Prob. 11PPSE Ch. 3.4 - Prob. 12PPSE Ch. 3.4 - Prob. 13PPSE Ch. 3.4 - Prob. 14PPSE Ch. 3.4 - Prob. 15PPSE Ch. 3.4 - Prob. 16PPSE Ch. 3.4 - Prob. 17PPSE Ch. 3.4 - Prob. 18PPSE Ch. 3.4 - Prob. 19PPSE Ch. 3.4 - Prob. 20PPSE Ch. 3.4 - Prob. 21PPSE Ch. 3.4 - Prob. 22PPSE Ch. 3.4 - Prob. 23PPSE Ch. 3.4 - Prob. 24PPSE Ch. 3.4 - Prob. 25PPSE Ch. 3.4 - Prob. 26PPSE Ch. 3.4 - Prob. 27PPSE Ch. 3.4 - Prob. 28PPSE Ch. 3.4 - Prob. 29PPSE Ch. 3.4 - Prob. 30PPSE Ch. 3.4 - Prob. 31PPSE Ch. 3.4 - Prob. 32PPSE Ch. 3.4 - Prob. 33PPSE Ch. 3.4 - Prob. 34PPSE Ch. 3.4 - Prob. 35PPSE Ch. 3.4 - Prob. 36PPSE Ch. 3.4 - Prob. 37PPSE Ch. 3.4 - Prob. 1E Ch. 3.4 - Prob. 2E Ch. 3.4 - Prob. 3E Ch. 3.4 - Prob. 4E Ch. 3.5 - Prob. 1A Ch. 3.5 - Prob. 2A Ch. 3.5 - Prob. 3A Ch. 3.5 - Prob. 4A Ch. 3.5 - Prob. 5A Ch. 3.5 - Prob. 6A Ch. 3.5 - Prob. 7A Ch. 3.5 - Prob. 8A Ch. 3.5 - Prob. 9A Ch. 3.5 - Prob. 10A Ch. 3.5 - Prob. 11A Ch. 3.5 - Prob. 12E Ch. 3.5 - Prob. 13E Ch. 3.5 - Prob. 14E Ch. 3.5 - Prob. 15E Ch. 3.5 - Prob. 16E Ch. 3.5 - Prob. 17E Ch. 3.5 - Prob. 18E Ch. 3.5 - Prob. 19E Ch. 3.5 - Prob. 20E Ch. 3.5 - Prob. 21E Ch. 3.5 - Prob. 22E Ch. 3.5 - Prob. 23E Ch. 3.5 - Prob. 1LC Ch. 3.5 - Prob. 2LC Ch. 3.5 - Prob. 3LC Ch. 3.5 - Prob. 4LC Ch. 3.5 - Prob. 5LC Ch. 3.5 - Prob. 6LC Ch. 3.5 - Prob. 7LC Ch. 3.5 - Prob. 8LC Ch. 3.5 - Prob. 9PPSE Ch. 3.5 - Prob. 10PPSE Ch. 3.5 - Prob. 11PPSE Ch. 3.5 - Prob. 12PPSE Ch. 3.5 - Prob. 13PPSE Ch. 3.5 - Prob. 14PPSE Ch. 3.5 - Prob. 15PPSE Ch. 3.5 - Prob. 16PPSE Ch. 3.5 - Prob. 17PPSE Ch. 3.5 - Prob. 18PPSE Ch. 3.5 - Prob. 19PPSE Ch. 3.5 - Prob. 20PPSE Ch. 3.5 - Prob. 21PPSE Ch. 3.5 - Prob. 22PPSE Ch. 3.5 - Prob. 23PPSE Ch. 3.5 - Prob. 24PPSE Ch. 3.5 - Prob. 25PPSE Ch. 3.5 - Prob. 26PPSE Ch. 3.5 - Prob. 27PPSE Ch. 3.5 - Prob. 28PPSE Ch. 3.5 - Prob. 29PPSE Ch. 3.5 - Prob. 30PPSE Ch. 3.5 - Prob. 31PPSE Ch. 3.5 - Prob. 32PPSE Ch. 3.5 - Prob. 33PPSE Ch. 3.5 - Prob. 34PPSE Ch. 3.5 - Prob. 35PPSE Ch. 3.5 - Prob. 36PPSE Ch. 3.5 - Prob. 37PPSE Ch. 3.5 - Prob. 38PPSE Ch. 3.5 - Prob. 39PPSE Ch. 3.5 - Prob. 40PPSE Ch. 3.5 - Prob. 41PPSE Ch. 3.5 - Prob. 42PPSE Ch. 3.5 - Prob. 43PPSE Ch. 3.5 - Prob. 44PPSE Ch. 3.5 - Prob. 45PPSE Ch. 3.6 - Prob. 1LC Ch. 3.6 - Prob. 2LC Ch. 3.6 - Prob. 3LC Ch. 3.6 - Prob. 4LC Ch. 3.6 - Prob. 5LC Ch. 3.6 - Prob. 6LC Ch. 3.6 - Prob. 7LC Ch. 3.6 - Prob. 8PPSE Ch. 3.6 - Prob. 9PPSE Ch. 3.6 - Prob. 10PPSE Ch. 3.6 - Prob. 11PPSE Ch. 3.6 - Prob. 12PPSE Ch. 3.6 - Prob. 13PPSE Ch. 3.6 - Prob. 14PPSE Ch. 3.6 - Prob. 15PPSE Ch. 3.6 - Prob. 16PPSE Ch. 3.6 - Prob. 17PPSE Ch. 3.6 - Prob. 18PPSE Ch. 3.6 - Prob. 19PPSE Ch. 3.6 - Prob. 20PPSE Ch. 3.6 - Prob. 21PPSE Ch. 3.6 - Prob. 22PPSE Ch. 3.6 - Prob. 23PPSE Ch. 3.6 - Prob. 24PPSE Ch. 3.6 - Prob. 25PPSE Ch. 3.6 - Prob. 26PPSE Ch. 3.6 - Prob. 27PPSE Ch. 3.6 - Prob. 28PPSE Ch. 3.6 - Prob. 29PPSE Ch. 3.6 - Prob. 30PPSE Ch. 3.6 - Prob. 31PPSE Ch. 3.6 - Prob. 32PPSE Ch. 3.6 - Prob. 33PPSE Ch. 3.6 - Prob. 34PPSE Ch. 3.6 - Prob. 35PPSE Ch. 3.6 - Prob. 36PPSE Ch. 3.6 - Prob. 37PPSE Ch. 3.6 - Prob. 38PPSE Ch. 3.6 - Prob. 39PPSE Ch. 3.6 - Prob. 40PPSE Ch. 3.6 - Prob. 41PPSE Ch. 3.6 - Prob. 42PPSE Ch. 3.6 - Prob. 43PPSE Ch. 3.6 - Prob. 44PPSE Ch. 3.6 - Prob. 45PPSE Ch. 3.6 - Prob. 46PPSE Ch. 3.6 - Prob. 47PPSE Ch. 3.6 - Prob. 48PPSE Ch. 3.6 - Prob. 49PPSE Ch. 3.6 - Prob. 50PPSE Ch. 3.6 - Prob. 51PPSE Ch. 3.6 - Prob. 52PPSE Ch. 3.6 - Prob. 53PPSE Ch. 3.6 - Prob. 54PPSE Ch. 3.6 - Prob. 55PPSE Ch. 3.6 - Prob. 56PPSE Ch. 3.6 - Prob. 57PPSE Ch. 3.6 - Prob. 58PPSE Ch. 3 - Prob. 1GR Ch. 3 - Prob. 2GR Ch. 3 - Prob. 3GR Ch. 3 - Prob. 4GR Ch. 3 - Prob. 5GR Ch. 3 - Prob. 6GR Ch. 3 - Prob. 7GR Ch. 3 - Prob. 8GR Ch. 3 - Prob. 9GR Ch. 3 - Prob. 10GR Ch. 3 - Prob. 11GR Ch. 3 - Prob. 12GR Ch. 3 - Prob. 13GR Ch. 3 - Prob. 14GR Ch. 3 - Prob. 15GR Ch. 3 - Prob. 16GR Ch. 3 - Prob. 17GR Ch. 3 - Prob. 18GR Ch. 3 - Prob. 19GR Ch. 3 - Prob. 20GR Ch. 3 - Prob. 21GR Ch. 3 - Prob. 22GR Ch. 3 - Prob. 23GR Ch. 3 - Prob. 1MCQ Ch. 3 - Prob. 2MCQ Ch. 3 - Prob. 3MCQ Ch. 3 - Prob. 4MCQ Ch. 3 - Prob. 5MCQ Ch. 3 - Prob. 6MCQ Ch. 3 - Prob. 7MCQ Ch. 3 - Prob. 8MCQ Ch. 3 - Prob. 9MCQ Ch. 3 - Prob. 10MCQ Ch. 3 - Prob. 11MCQ Ch. 3 - Prob. 12MCQ Ch. 3 - Prob. 13MCQ Ch. 3 - Prob. 14MCQ Ch. 3 - Prob. 15MCQ Ch. 3 - Prob. 16MCQ Ch. 3 - Prob. 17MCQ Ch. 3 - Prob. 18MCQ Ch. 3 - Prob. 1CV Ch. 3 - Prob. 2CV Ch. 3 - Prob. 3E Ch. 3 - Prob. 4E Ch. 3 - Prob. 5E Ch. 3 - Prob. 6E Ch. 3 - Prob. 7E Ch. 3 - Prob. 8E Ch. 3 - Prob. 9E Ch. 3 - Prob. 10E Ch. 3 - Prob. 11E Ch. 3 - Prob. 12E Ch. 3 - Prob. 13E Ch. 3 - Prob. 14E Ch. 3 - Prob. 15E Ch. 3 - Prob. 16E Ch. 3 - Prob. 17E Ch. 3 - Prob. 18E Ch. 3 - Prob. 19E Ch. 3 - 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