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High School Math Algebra Glencoe Algebra 2 Student Edition C2014

the system of equations 9 y + 3 x = 18 and − 3 y − x = − 6 by substitution.

the system of equations 9 y + 3 x = 18 and − 3 y − x = − 6 by substitution.

Glencoe Algebra 2 Student Edition C2014

Glencoe Algebra 2 Student Edition C2014

1st Edition

ISBN: 9780076639908

Author: McGraw-Hill Glencoe

Publisher: MCG

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Question

Chapter 3.1, Problem 43PPS

To determine

To solve: the system of equations 9y+3x=18 and −3y−x=−6 by substitution.

Expert Solution & Answer

Answer to Problem 43PPS

Infinitely many solutions

Explanation of Solution

Given:

The system of equations:

9y+3x=18−3y−x=−6

Consider the given equations:

9y+3x=18 ….. (1)

−3y−x=−6 ….. (2)

Now divide equation (1) by −3 ,

−13(9y+3x)=−13×18

−3y−x=−6 ….. (3)

Equation (3) thus obtained is identical to the equation (2), this implies the both the equations in the given system are identical.

Thus, the given system has infinitely many solutions.

Chapter 3.1, Problem 42PPS

Chapter 3.1, Problem 44PPS

Chapter 3 Solutions

Glencoe Algebra 2 Student Edition C2014

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

Ch. 3.1 - Prob. 1AGP Ch. 3.1 - Prob. 1BGP Ch. 3.1 - Prob. 2AGP Ch. 3.1 - Prob. 2BGP Ch. 3.1 - Prob. 3AGP Ch. 3.1 - Prob. 3BGP Ch. 3.1 - Prob. 4AGP Ch. 3.1 - Prob. 4BGP Ch. 3.1 - Prob. 4CGP Ch. 3.1 - Prob. 5AGP Ch. 3.1 - Prob. 5BGP Ch. 3.1 - Prob. 5CGP Ch. 3.1 - Prob. 6GP Ch. 3.1 - Prob. 1CYU Ch. 3.1 - Prob. 2CYU Ch. 3.1 - Prob. 3CYU Ch. 3.1 - Prob. 4CYU Ch. 3.1 - Prob. 5CYU Ch. 3.1 - Prob. 6CYU Ch. 3.1 - Prob. 7CYU Ch. 3.1 - Prob. 8CYU Ch. 3.1 - Prob. 9CYU Ch. 3.1 - Prob. 10CYU Ch. 3.1 - Prob. 11CYU Ch. 3.1 - Prob. 12CYU Ch. 3.1 - Prob. 13CYU Ch. 3.1 - Prob. 14CYU Ch. 3.1 - Prob. 15CYU Ch. 3.1 - Prob. 16CYU Ch. 3.1 - Prob. 17CYU Ch. 3.1 - Prob. 18CYU Ch. 3.1 - Prob. 19CYU Ch. 3.1 - Prob. 20CYU Ch. 3.1 - Prob. 21CYU Ch. 3.1 - Prob. 22CYU Ch. 3.1 - Prob. 23CYU Ch. 3.1 - Prob. 24CYU Ch. 3.1 - Prob. 25CYU Ch. 3.1 - Prob. 26PPS Ch. 3.1 - Prob. 27PPS Ch. 3.1 - Prob. 28PPS Ch. 3.1 - Prob. 29PPS Ch. 3.1 - Prob. 30PPS Ch. 3.1 - Prob. 31PPS Ch. 3.1 - Prob. 32PPS Ch. 3.1 - Prob. 33PPS Ch. 3.1 - Prob. 34PPS Ch. 3.1 - Prob. 35PPS Ch. 3.1 - Prob. 36PPS Ch. 3.1 - Prob. 37PPS Ch. 3.1 - Prob. 38PPS Ch. 3.1 - Prob. 39PPS Ch. 3.1 - Prob. 40PPS Ch. 3.1 - Prob. 41PPS Ch. 3.1 - Prob. 42PPS Ch. 3.1 - Prob. 43PPS Ch. 3.1 - Prob. 44PPS Ch. 3.1 - Prob. 45PPS Ch. 3.1 - Prob. 46PPS Ch. 3.1 - Prob. 47PPS Ch. 3.1 - Prob. 48PPS Ch. 3.1 - Prob. 49PPS Ch. 3.1 - Prob. 50PPS Ch. 3.1 - Prob. 51PPS Ch. 3.1 - Prob. 52PPS Ch. 3.1 - Prob. 53PPS Ch. 3.1 - Prob. 54PPS Ch. 3.1 - Prob. 55PPS Ch. 3.1 - Prob. 56PPS Ch. 3.1 - Prob. 57PPS Ch. 3.1 - Prob. 58PPS Ch. 3.1 - Prob. 59PPS Ch. 3.1 - Prob. 60PPS Ch. 3.1 - Prob. 61PPS Ch. 3.1 - Prob. 62PPS Ch. 3.1 - Prob. 63PPS Ch. 3.1 - Prob. 64PPS Ch. 3.1 - Prob. 65PPS Ch. 3.1 - Prob. 66PPS Ch. 3.1 - Prob. 67PPS Ch. 3.1 - Prob. 68PPS Ch. 3.1 - Prob. 69PPS Ch. 3.1 - Prob. 70PPS Ch. 3.1 - Prob. 71PPS Ch. 3.1 - Prob. 72PPS Ch. 3.1 - Prob. 73PPS Ch. 3.1 - Prob. 74PPS Ch. 3.1 - Prob. 75PPS Ch. 3.1 - Prob. 76HP Ch. 3.1 - Prob. 77HP Ch. 3.1 - Prob. 78HP Ch. 3.1 - Prob. 79HP Ch. 3.1 - Prob. 80HP Ch. 3.1 - Prob. 81STP Ch. 3.1 - Prob. 82STP Ch. 3.1 - Prob. 83STP Ch. 3.1 - Prob. 84STP Ch. 3.1 - Prob. 85SR Ch. 3.1 - Prob. 86SR Ch. 3.1 - Prob. 87SR Ch. 3.1 - Prob. 88SR Ch. 3.1 - Prob. 89SR Ch. 3.1 - Prob. 90SR Ch. 3.1 - Prob. 91SR Ch. 3.1 - Prob. 92SR Ch. 3.1 - Prob. 93SR Ch. 3.1 - Prob. 94SR Ch. 3.1 - Prob. 95S Ch. 3.1 - Prob. 96S Ch. 3.1 - Prob. 97S Ch. 3.2 - Prob. 1AGP Ch. 3.2 - Prob. 1BGP Ch. 3.2 - Prob. 2AGP Ch. 3.2 - Prob. 2BGP Ch. 3.2 - Prob. 3GP Ch. 3.2 - Prob. 4AGP Ch. 3.2 - Prob. 4BGP Ch. 3.2 - Prob. 1CYU Ch. 3.2 - Prob. 2CYU Ch. 3.2 - Prob. 3CYU Ch. 3.2 - Prob. 4CYU Ch. 3.2 - Prob. 5CYU Ch. 3.2 - Prob. 6CYU Ch. 3.2 - Prob. 7PPS Ch. 3.2 - Prob. 8PPS Ch. 3.2 - Prob. 9PPS Ch. 3.2 - Prob. 10PPS Ch. 3.2 - Prob. 11PPS Ch. 3.2 - Prob. 12PPS Ch. 3.2 - Prob. 13PPS Ch. 3.2 - Prob. 14PPS Ch. 3.2 - Prob. 15PPS Ch. 3.2 - Prob. 16PPS Ch. 3.2 - Prob. 17PPS Ch. 3.2 - Prob. 18PPS Ch. 3.2 - Prob. 19PPS Ch. 3.2 - Prob. 20PPS Ch. 3.2 - Prob. 21PPS Ch. 3.2 - Prob. 22PPS Ch. 3.2 - Prob. 23PPS Ch. 3.2 - Prob. 24PPS Ch. 3.2 - Prob. 25PPS Ch. 3.2 - Prob. 26PPS Ch. 3.2 - Prob. 27PPS Ch. 3.2 - Prob. 28PPS Ch. 3.2 - Prob. 29PPS Ch. 3.2 - Prob. 30PPS Ch. 3.2 - Prob. 31PPS Ch. 3.2 - Prob. 32PPS Ch. 3.2 - Prob. 33PPS Ch. 3.2 - Prob. 34PPS Ch. 3.2 - Prob. 35PPS Ch. 3.2 - Prob. 36PPS Ch. 3.2 - Prob. 37PPS Ch. 3.2 - Prob. 38PPS Ch. 3.2 - Prob. 39PPS Ch. 3.2 - Prob. 40PPS Ch. 3.2 - Prob. 41PPS Ch. 3.2 - Prob. 42PPS Ch. 3.2 - Prob. 43PPS Ch. 3.2 - Prob. 44PPS Ch. 3.2 - Prob. 45HP Ch. 3.2 - Prob. 46HP Ch. 3.2 - Prob. 47HP Ch. 3.2 - Prob. 48HP Ch. 3.2 - Prob. 49HP Ch. 3.2 - Prob. 50HP Ch. 3.2 - Prob. 51STP Ch. 3.2 - Prob. 52STP Ch. 3.2 - Prob. 53STP Ch. 3.2 - Prob. 54STP Ch. 3.2 - Prob. 55SR Ch. 3.2 - Prob. 56SR Ch. 3.2 - Prob. 57SR Ch. 3.2 - Prob. 58SR Ch. 3.2 - Prob. 59SR Ch. 3.2 - Prob. 60SR Ch. 3.2 - Prob. 61SR Ch. 3.2 - Prob. 62SR Ch. 3.2 - Prob. 63S Ch. 3.2 - Prob. 64S Ch. 3.2 - Prob. 65S Ch. 3.2 - Prob. 66S Ch. 3.2 - Prob. 67S Ch. 3.2 - Prob. 68S Ch. 3.3 - Prob. 1E Ch. 3.3 - Prob. 2E Ch. 3.3 - Prob. 3E Ch. 3.3 - Prob. 4E Ch. 3.3 - Prob. 5E Ch. 3.3 - Prob. 6E Ch. 3.3 - Prob. 7E Ch. 3.3 - Prob. 8E Ch. 3.3 - Prob. 9E Ch. 3.3 - Prob. 1AGP Ch. 3.3 - Prob. 1BGP Ch. 3.3 - Prob. 2AGP Ch. 3.3 - Prob. 2BGP Ch. 3.3 - Prob. 3GP Ch. 3.3 - Prob. 1CYU Ch. 3.3 - Prob. 2CYU Ch. 3.3 - Prob. 3CYU Ch. 3.3 - Prob. 4CYU Ch. 3.3 - Prob. 5CYU Ch. 3.3 - Prob. 6CYU Ch. 3.3 - Prob. 7CYU Ch. 3.3 - Prob. 8PPS Ch. 3.3 - Prob. 9PPS Ch. 3.3 - Prob. 10PPS Ch. 3.3 - Prob. 11PPS Ch. 3.3 - Prob. 12PPS Ch. 3.3 - Prob. 13PPS Ch. 3.3 - Prob. 14PPS Ch. 3.3 - Prob. 15PPS Ch. 3.3 - Prob. 16PPS Ch. 3.3 - Prob. 17PPS Ch. 3.3 - Prob. 18PPS Ch. 3.3 - Prob. 19PPS Ch. 3.3 - Prob. 20PPS Ch. 3.3 - Prob. 21PPS Ch. 3.3 - Prob. 22PPS Ch. 3.3 - Prob. 23PPS Ch. 3.3 - Prob. 24PPS Ch. 3.3 - Prob. 25PPS Ch. 3.3 - Prob. 26PPS Ch. 3.3 - Prob. 27PPS Ch. 3.3 - Prob. 28PPS Ch. 3.3 - Prob. 29HP Ch. 3.3 - Prob. 30HP Ch. 3.3 - Prob. 31HP Ch. 3.3 - Prob. 32HP Ch. 3.3 - Prob. 33HP Ch. 3.3 - Prob. 34STP Ch. 3.3 - Prob. 35STP Ch. 3.3 - Prob. 36STP Ch. 3.3 - Prob. 37STP Ch. 3.3 - Prob. 38SR Ch. 3.3 - Prob. 39SR Ch. 3.3 - Prob. 40SR Ch. 3.3 - Prob. 41SR Ch. 3.3 - Prob. 42SR Ch. 3.3 - Prob. 43SR Ch. 3.3 - Prob. 44SR Ch. 3.3 - Prob. 45SR Ch. 3.3 - Prob. 46SR Ch. 3.3 - Prob. 47SR Ch. 3.3 - Prob. 48SR Ch. 3.3 - Prob. 49SR Ch. 3.3 - Prob. 50S Ch. 3.3 - Prob. 51S Ch. 3.3 - Prob. 52S Ch. 3.3 - Prob. 53S Ch. 3.3 - Prob. 54S Ch. 3.3 - Prob. 55S Ch. 3.4 - Prob. 1AGP Ch. 3.4 - Prob. 1BGP Ch. 3.4 - Prob. 2AGP Ch. 3.4 - Prob. 2BGP Ch. 3.4 - Prob. 3GP Ch. 3.4 - Prob. 1CYU Ch. 3.4 - Prob. 2CYU Ch. 3.4 - Prob. 3CYU Ch. 3.4 - Prob. 4CYU Ch. 3.4 - Prob. 5CYU Ch. 3.4 - Prob. 6CYU Ch. 3.4 - Prob. 7CYU Ch. 3.4 - Prob. 8PPS Ch. 3.4 - Prob. 9PPS Ch. 3.4 - Prob. 10PPS Ch. 3.4 - Prob. 11PPS Ch. 3.4 - Prob. 12PPS Ch. 3.4 - Prob. 13PPS Ch. 3.4 - Prob. 14PPS Ch. 3.4 - Prob. 15PPS Ch. 3.4 - Prob. 16PPS Ch. 3.4 - Prob. 17PPS Ch. 3.4 - Prob. 18PPS Ch. 3.4 - Prob. 19PPS Ch. 3.4 - Prob. 20PPS Ch. 3.4 - Prob. 21PPS Ch. 3.4 - Prob. 22PPS Ch. 3.4 - Prob. 23PPS Ch. 3.4 - Prob. 24HP Ch. 3.4 - Prob. 25HP Ch. 3.4 - Prob. 26HP Ch. 3.4 - Prob. 27HP Ch. 3.4 - Prob. 28HP Ch. 3.4 - Prob. 29HP Ch. 3.4 - Prob. 30STP Ch. 3.4 - Prob. 31STP Ch. 3.4 - Prob. 32STP Ch. 3.4 - Prob. 33STP Ch. 3.4 - Prob. 34SR Ch. 3.4 - Prob. 35SR Ch. 3.4 - Prob. 36SR Ch. 3.4 - Prob. 37SR Ch. 3.4 - Prob. 38SR Ch. 3.4 - Prob. 39S Ch. 3.4 - Prob. 40S Ch. 3.4 - Prob. 41S Ch. 3.4 - Prob. 42S Ch. 3.4 - Prob. 1E Ch. 3.4 - Prob. 2E Ch. 3.4 - Prob. 3E Ch. 3.4 - Prob. 4E Ch. 3.4 - Prob. 5E Ch. 3.4 - Prob. 6E Ch. 3.4 - Prob. 7E Ch. 3.4 - Prob. 8E Ch. 3.4 - Prob. 9E Ch. 3.4 - Prob. 10E Ch. 3.4 - Prob. 11E Ch. 3.4 - Prob. 12E Ch. 3.4 - Prob. 13E Ch. 3.4 - Prob. 14E Ch. 3.4 - Prob. 15E Ch. 3.4 - Prob. 16E Ch. 3.4 - Prob. 17E Ch. 3.4 - Prob. 18E Ch. 3.4 - Prob. 19E Ch. 3.5 - Prob. 1E Ch. 3.5 - Prob. 2E Ch. 3.5 - Prob. 3E Ch. 3.5 - Prob. 4E Ch. 3.5 - Prob. 1GP Ch. 3.5 - Prob. 2AGP Ch. 3.5 - Prob. 2BGP Ch. 3.5 - Prob. 2CGP Ch. 3.5 - Prob. 3GP Ch. 3.5 - Prob. 4GP Ch. 3.5 - Prob. 5GP Ch. 3.5 - Prob. 1CYU Ch. 3.5 - Prob. 2CYU Ch. 3.5 - Prob. 3CYU Ch. 3.5 - Prob. 4CYU Ch. 3.5 - Prob. 5CYU Ch. 3.5 - Prob. 6CYU Ch. 3.5 - Prob. 7CYU Ch. 3.5 - Prob. 8CYU Ch. 3.5 - Prob. 9CYU Ch. 3.5 - Prob. 10CYU Ch. 3.5 - Prob. 11CYU Ch. 3.5 - Prob. 12CYU Ch. 3.5 - Prob. 13PPS Ch. 3.5 - Prob. 14PPS Ch. 3.5 - Prob. 15PPS Ch. 3.5 - Prob. 16PPS Ch. 3.5 - Prob. 17PPS Ch. 3.5 - Prob. 18PPS Ch. 3.5 - Prob. 19PPS Ch. 3.5 - Prob. 20PPS Ch. 3.5 - Prob. 21PPS Ch. 3.5 - Prob. 22PPS Ch. 3.5 - Prob. 23PPS Ch. 3.5 - Prob. 24PPS Ch. 3.5 - Prob. 25PPS Ch. 3.5 - Prob. 26PPS Ch. 3.5 - Prob. 27PPS Ch. 3.5 - Prob. 28PPS Ch. 3.5 - Prob. 29PPS Ch. 3.5 - Prob. 30PPS Ch. 3.5 - Prob. 31HP Ch. 3.5 - Prob. 32HP Ch. 3.5 - Prob. 33HP Ch. 3.5 - Prob. 34HP Ch. 3.5 - Prob. 35HP Ch. 3.5 - Prob. 36HP Ch. 3.5 - Prob. 37STP Ch. 3.5 - Prob. 38STP Ch. 3.5 - Prob. 39STP Ch. 3.5 - Prob. 40STP Ch. 3.5 - Prob. 41SR Ch. 3.5 - Prob. 42SR Ch. 3.5 - Prob. 43SR Ch. 3.5 - Prob. 44SR Ch. 3.5 - Prob. 45SR Ch. 3.5 - Prob. 46SR Ch. 3.5 - Prob. 47SR Ch. 3.5 - Prob. 48SR Ch. 3.5 - Prob. 49SR Ch. 3.5 - Prob. 50S Ch. 3.5 - Prob. 51S Ch. 3.5 - Prob. 52S Ch. 3.6 - Prob. 1AGP Ch. 3.6 - Prob. 1BGP Ch. 3.6 - Prob. 2GP Ch. 3.6 - Prob. 3GP Ch. 3.6 - Prob. 4GP Ch. 3.6 - Prob. 5GP Ch. 3.6 - Prob. 1CYU Ch. 3.6 - Prob. 2CYU Ch. 3.6 - Prob. 3CYU Ch. 3.6 - Prob. 4CYU Ch. 3.6 - Prob. 5CYU Ch. 3.6 - Prob. 6CYU Ch. 3.6 - Prob. 7CYU Ch. 3.6 - Prob. 8CYU Ch. 3.6 - Prob. 9CYU Ch. 3.6 - Prob. 10CYU Ch. 3.6 - Prob. 11CYU Ch. 3.6 - Prob. 12CYU Ch. 3.6 - Prob. 13CYU Ch. 3.6 - Prob. 14CYU Ch. 3.6 - Prob. 15PPS Ch. 3.6 - Prob. 16PPS Ch. 3.6 - Prob. 17PPS Ch. 3.6 - Prob. 18PPS Ch. 3.6 - Prob. 19PPS Ch. 3.6 - Prob. 20PPS Ch. 3.6 - Prob. 21PPS Ch. 3.6 - Prob. 22PPS Ch. 3.6 - Prob. 23PPS Ch. 3.6 - Prob. 24PPS Ch. 3.6 - Prob. 25PPS Ch. 3.6 - Prob. 26PPS Ch. 3.6 - Prob. 27PPS Ch. 3.6 - Prob. 28PPS Ch. 3.6 - Prob. 29PPS Ch. 3.6 - Prob. 30PPS Ch. 3.6 - Prob. 31PPS Ch. 3.6 - Prob. 32PPS Ch. 3.6 - Prob. 33PPS Ch. 3.6 - Prob. 34PPS Ch. 3.6 - Prob. 35PPS Ch. 3.6 - Prob. 36PPS Ch. 3.6 - Prob. 37PPS Ch. 3.6 - Prob. 38PPS Ch. 3.6 - Prob. 39PPS Ch. 3.6 - Prob. 40PPS Ch. 3.6 - Prob. 41PPS Ch. 3.6 - Prob. 42PPS Ch. 3.6 - Prob. 43PPS Ch. 3.6 - Prob. 44PPS Ch. 3.6 - Prob. 45PPS Ch. 3.6 - Prob. 46HP Ch. 3.6 - Prob. 47HP Ch. 3.6 - Prob. 48HP Ch. 3.6 - Prob. 49HP Ch. 3.6 - Prob. 50HP Ch. 3.6 - Prob. 51STP Ch. 3.6 - Prob. 52STP Ch. 3.6 - Prob. 53STP Ch. 3.6 - Prob. 54STP Ch. 3.6 - Prob. 55SR Ch. 3.6 - Prob. 56SR Ch. 3.6 - Prob. 57SR Ch. 3.6 - Prob. 58SR Ch. 3.6 - Prob. 59SR Ch. 3.6 - Prob. 60SR Ch. 3.6 - Prob. 61SR Ch. 3.6 - Prob. 62SR Ch. 3.6 - Prob. 63S Ch. 3.6 - Prob. 64S Ch. 3.6 - Prob. 65S Ch. 3.6 - Prob. 1E Ch. 3.6 - Prob. 2E Ch. 3.6 - Prob. 3E Ch. 3.6 - Prob. 4E Ch. 3.6 - Prob. 5E Ch. 3.6 - Prob. 6E Ch. 3.6 - Prob. 7E Ch. 3.6 - Prob. 8E Ch. 3.6 - Prob. 9E Ch. 3.6 - Prob. 10E Ch. 3.6 - Prob. 11E Ch. 3.6 - Prob. 12E Ch. 3.6 - Prob. 13E Ch. 3.6 - Prob. 14E Ch. 3.7 - Prob. 1AGP Ch. 3.7 - Prob. 1BGP Ch. 3.7 - Prob. 2AGP Ch. 3.7 - Prob. 2BGP Ch. 3.7 - Prob. 3GP Ch. 3.7 - Prob. 4AGP Ch. 3.7 - Prob. 4BGP Ch. 3.7 - Prob. 5AGP Ch. 3.7 - Prob. 5BGP Ch. 3.7 - Prob. 1CYU Ch. 3.7 - Prob. 2CYU Ch. 3.7 - Prob. 3CYU Ch. 3.7 - Prob. 4CYU Ch. 3.7 - Prob. 5CYU Ch. 3.7 - Prob. 6CYU Ch. 3.7 - Prob. 7CYU Ch. 3.7 - Prob. 8CYU Ch. 3.7 - Prob. 9CYU Ch. 3.7 - Prob. 10CYU Ch. 3.7 - Prob. 11CYU Ch. 3.7 - Prob. 12CYU Ch. 3.7 - Prob. 13CYU Ch. 3.7 - Prob. 14CYU Ch. 3.7 - Prob. 15CYU Ch. 3.7 - Prob. 16CYU Ch. 3.7 - Prob. 17CYU Ch. 3.7 - Prob. 18CYU Ch. 3.7 - Prob. 19CYU Ch. 3.7 - Prob. 20CYU Ch. 3.7 - Prob. 21CYU Ch. 3.7 - Prob. 22CYU Ch. 3.7 - Prob. 23CYU Ch. 3.7 - Prob. 24CYU Ch. 3.7 - Prob. 25CYU Ch. 3.7 - Prob. 26PPS Ch. 3.7 - Prob. 27PPS Ch. 3.7 - Prob. 28PPS Ch. 3.7 - Prob. 29PPS Ch. 3.7 - Prob. 30PPS Ch. 3.7 - Prob. 31PPS Ch. 3.7 - Prob. 32PPS Ch. 3.7 - Prob. 33PPS Ch. 3.7 - Prob. 34PPS Ch. 3.7 - Prob. 35PPS Ch. 3.7 - Prob. 36PPS Ch. 3.7 - Prob. 37PPS Ch. 3.7 - Prob. 38PPS Ch. 3.7 - Prob. 39PPS Ch. 3.7 - Prob. 40PPS Ch. 3.7 - Prob. 41PPS Ch. 3.7 - Prob. 42PPS Ch. 3.7 - Prob. 43PPS Ch. 3.7 - Prob. 44PPS Ch. 3.7 - Prob. 45PPS Ch. 3.7 - Prob. 46PPS Ch. 3.7 - Prob. 47PPS Ch. 3.7 - Prob. 48PPS Ch. 3.7 - Prob. 49PPS Ch. 3.7 - Prob. 50PPS Ch. 3.7 - Prob. 51PPS Ch. 3.7 - Prob. 52PPS Ch. 3.7 - Prob. 53PPS Ch. 3.7 - Prob. 54PPS Ch. 3.7 - Prob. 55PPS Ch. 3.7 - Prob. 56HP Ch. 3.7 - Prob. 57HP Ch. 3.7 - Prob. 58HP Ch. 3.7 - Prob. 59HP Ch. 3.7 - Prob. 60HP Ch. 3.7 - Prob. 61HP Ch. 3.7 - Prob. 62STP Ch. 3.7 - Prob. 63STP Ch. 3.7 - Prob. 64STP Ch. 3.7 - Prob. 65STP Ch. 3.7 - Prob. 66SR Ch. 3.7 - Prob. 67SR Ch. 3.7 - Prob. 68SR Ch. 3.7 - Prob. 69SR Ch. 3.7 - Prob. 70SR Ch. 3.7 - Prob. 71SR Ch. 3.7 - Prob. 72SR Ch. 3.7 - Prob. 73S Ch. 3.7 - Prob. 74S Ch. 3.7 - Prob. 75S Ch. 3.8 - Prob. 1GP Ch. 3.8 - Prob. 2AGP Ch. 3.8 - Prob. 2BGP Ch. 3.8 - Prob. 3GP Ch. 3.8 - Prob. 1CYU Ch. 3.8 - Prob. 2CYU Ch. 3.8 - Prob. 3CYU Ch. 3.8 - Prob. 4CYU Ch. 3.8 - Prob. 5CYU Ch. 3.8 - Prob. 6CYU Ch. 3.8 - Prob. 7CYU Ch. 3.8 - Prob. 8CYU Ch. 3.8 - Prob. 9CYU Ch. 3.8 - Prob. 10CYU Ch. 3.8 - Prob. 11CYU Ch. 3.8 - Prob. 12CYU Ch. 3.8 - Prob. 13PPS Ch. 3.8 - Prob. 14PPS Ch. 3.8 - Prob. 15PPS Ch. 3.8 - Prob. 16PPS Ch. 3.8 - Prob. 17PPS Ch. 3.8 - Prob. 18PPS Ch. 3.8 - Prob. 19PPS Ch. 3.8 - Prob. 20PPS Ch. 3.8 - Prob. 21PPS Ch. 3.8 - Prob. 22PPS Ch. 3.8 - Prob. 23PPS Ch. 3.8 - Prob. 24PPS Ch. 3.8 - Prob. 25PPS Ch. 3.8 - Prob. 26PPS Ch. 3.8 - Prob. 27PPS Ch. 3.8 - Prob. 28PPS Ch. 3.8 - Prob. 29PPS Ch. 3.8 - Prob. 30PPS Ch. 3.8 - Prob. 31PPS Ch. 3.8 - Prob. 32PPS Ch. 3.8 - Prob. 33PPS Ch. 3.8 - Prob. 34PPS Ch. 3.8 - Prob. 35PPS Ch. 3.8 - Prob. 36PPS Ch. 3.8 - Prob. 37PPS Ch. 3.8 - Prob. 38HP Ch. 3.8 - Prob. 39HP Ch. 3.8 - Prob. 40HP Ch. 3.8 - Prob. 41HP Ch. 3.8 - Prob. 42HP Ch. 3.8 - Prob. 43STP Ch. 3.8 - Prob. 44STP Ch. 3.8 - Prob. 45STP Ch. 3.8 - Prob. 46STP Ch. 3.8 - Prob. 47SR Ch. 3.8 - Prob. 48SR Ch. 3.8 - Prob. 49SR Ch. 3.8 - Prob. 50SR Ch. 3.8 - Prob. 51SR Ch. 3.8 - Prob. 52SR Ch. 3.8 - Prob. 53SR Ch. 3.8 - Prob. 54S Ch. 3.8 - Prob. 55S Ch. 3.8 - Prob. 56S Ch. 3.8 - Prob. 1E Ch. 3.8 - Prob. 2E Ch. 3.8 - Prob. 3E Ch. 3.8 - Prob. 4E Ch. 3.8 - Prob. 5E Ch. 3.8 - Prob. 6E Ch. 3 - Prob. 1QC Ch. 3 - Prob. 2QC Ch. 3 - Prob. 3QC Ch. 3 - Prob. 4QC Ch. 3 - Prob. 5QC Ch. 3 - Prob. 6QC Ch. 3 - Prob. 7QC Ch. 3 - Prob. 8QC Ch. 3 - Prob. 9QC Ch. 3 - Prob. 10QC Ch. 3 - Prob. 11QC Ch. 3 - Prob. 12QC Ch. 3 - Prob. 13QC Ch. 3 - Prob. 14QC Ch. 3 - Prob. 1SGR Ch. 3 - Prob. 2SGR Ch. 3 - Prob. 3SGR Ch. 3 - Prob. 4SGR Ch. 3 - Prob. 5SGR Ch. 3 - Prob. 6SGR Ch. 3 - Prob. 7SGR Ch. 3 - Prob. 8SGR Ch. 3 - Prob. 9SGR Ch. 3 - Prob. 10SGR Ch. 3 - Prob. 11SGR Ch. 3 - Prob. 12SGR Ch. 3 - Prob. 13SGR Ch. 3 - Prob. 14SGR Ch. 3 - Prob. 15SGR Ch. 3 - Prob. 16SGR Ch. 3 - Prob. 17SGR Ch. 3 - Prob. 18SGR Ch. 3 - Prob. 19SGR Ch. 3 - Prob. 20SGR Ch. 3 - Prob. 21SGR Ch. 3 - Prob. 22SGR Ch. 3 - Prob. 23SGR Ch. 3 - Prob. 24SGR Ch. 3 - Prob. 25SGR Ch. 3 - Prob. 26SGR Ch. 3 - Prob. 27SGR Ch. 3 - Prob. 28SGR Ch. 3 - Prob. 29SGR Ch. 3 - Prob. 30SGR Ch. 3 - Prob. 31SGR Ch. 3 - Prob. 32SGR Ch. 3 - Prob. 33SGR Ch. 3 - Prob. 34SGR Ch. 3 - Prob. 35SGR Ch. 3 - Prob. 36SGR Ch. 3 - Prob. 37SGR Ch. 3 - Prob. 38SGR Ch. 3 - Prob. 39SGR Ch. 3 - Prob. 40SGR Ch. 3 - Prob. 41SGR Ch. 3 - Prob. 42SGR Ch. 3 - Prob. 43SGR Ch. 3 - Prob. 44SGR Ch. 3 - Prob. 45SGR Ch. 3 - Prob. 46SGR Ch. 3 - Prob. 47SGR Ch. 3 - Prob. 48SGR Ch. 3 - Prob. 1PT Ch. 3 - Prob. 2PT Ch. 3 - Prob. 3PT Ch. 3 - Prob. 4PT Ch. 3 - Prob. 5PT Ch. 3 - Prob. 6PT Ch. 3 - Prob. 7PT Ch. 3 - Prob. 8PT Ch. 3 - Prob. 9PT Ch. 3 - Prob. 10PT Ch. 3 - Prob. 11PT Ch. 3 - Prob. 12PT Ch. 3 - Prob. 13PT Ch. 3 - Prob. 14PT Ch. 3 - Prob. 15PT Ch. 3 - Prob. 16PT Ch. 3 - Prob. 17PT Ch. 3 - Prob. 18PT Ch. 3 - Prob. 19PT Ch. 3 - Prob. 20PT Ch. 3 - Prob. 21PT Ch. 3 - Prob. 22PT Ch. 3 - Prob. 1E Ch. 3 - Prob. 2E 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. 1STP Ch. 3 - Prob. 2STP Ch. 3 - Prob. 3STP Ch. 3 - Prob. 4STP Ch. 3 - Prob. 5STP Ch. 3 - Prob. 6STP Ch. 3 - Prob. 7STP Ch. 3 - Prob. 8STP Ch. 3 - Prob. 9STP Ch. 3 - Prob. 10STP Ch. 3 - Prob. 11STP Ch. 3 - Prob. 12STP Ch. 3 - Prob. 13STP

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Matrix Factorization - Numberphile; Author: Numberphile;https://www.youtube.com/watch?v=wTUSz-HSaBg;License: Standard YouTube License, CC-BY