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High School Math Algebra Algebra 2

The solution of equations using Cramer’s rule.

The solution of equations using Cramer’s rule.

Algebra 2

1st Edition

ISBN: 9780078884825

Author: McGraw-Hill/Glencoe

Publisher: Glencoe/McGraw-Hill School Pub Co

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Question

Chapter 4.5, Problem 51PPS

To determine

To find: The solution of equations using Cramer’s rule.

Expert Solution & Answer

Answer to Problem 51PPS

The solution of the system is $(4,8,−5)$ .

Explanation of Solution

Given,

The set of equation is given as,

$3a−5b−9c=174a−3c=31−5a−4b−2c=−42$

Calculation:

Calculate the determinant of x .

$|x|=|17−5−9310−3−42−4−2|=17(0−12)+5(−62−126)−9(−124−0)=−28$

Calculate the determinant of y .

$|y|=|317−9431−3−5−42−2|=3(−62−126)−17(−8−15)−9(−168+155)=−56$

Calculate the determinant of z .

$|z|=|3−5174031−5−4−42|=3(0+124)+5(−168+155)+17(−16+0)=35$

Calculate the determinant C .

$|C|=|3−5−940−3−5−4−2|=3(0−12)+5(−8−15)−9(−16−0)=−7$

Calculate the value of x, yandz.

$x=−28−7=4y=−57−7=8$

$z=35−5=−5$

Thus, the solution of the system is $(4,8,−5)$ .

Chapter 4.5, Problem 50PPS

Chapter 4.5, Problem 52PPS

Chapter 4 Solutions

Algebra 2

Ch. 4.1 - Prob. 1ACYP Ch. 4.1 - Prob. 1BCYP Ch. 4.1 - Prob. 2CYP Ch. 4.1 - Prob. 3CYP Ch. 4.1 - Prob. 1CYU Ch. 4.1 - Prob. 2CYU Ch. 4.1 - Prob. 3CYU Ch. 4.1 - Prob. 4CYU Ch. 4.1 - Prob. 5CYU Ch. 4.1 - Prob. 6CYU

Ch. 4.1 - Prob. 7CYU Ch. 4.1 - Prob. 8CYU Ch. 4.1 - Prob. 9PPS Ch. 4.1 - Prob. 10PPS Ch. 4.1 - Prob. 11PPS Ch. 4.1 - Prob. 12PPS Ch. 4.1 - Prob. 13PPS Ch. 4.1 - Prob. 14PPS Ch. 4.1 - Prob. 15PPS Ch. 4.1 - Prob. 16PPS Ch. 4.1 - Prob. 17PPS Ch. 4.1 - Prob. 18PPS Ch. 4.1 - Prob. 19PPS Ch. 4.1 - Prob. 20PPS Ch. 4.1 - Prob. 21PPS Ch. 4.1 - Prob. 22PPS Ch. 4.1 - Prob. 23PPS Ch. 4.1 - Prob. 24PPS Ch. 4.1 - Prob. 25PPS Ch. 4.1 - Prob. 26PPS Ch. 4.1 - Prob. 27PPS Ch. 4.1 - Prob. 28PPS Ch. 4.1 - Prob. 29PPS Ch. 4.1 - Prob. 30PPS Ch. 4.1 - Prob. 31PPS Ch. 4.1 - Prob. 32PPS Ch. 4.1 - Prob. 33PPS Ch. 4.1 - Prob. 34PPS Ch. 4.1 - Prob. 35HP Ch. 4.1 - Prob. 36HP Ch. 4.1 - Prob. 37HP Ch. 4.1 - Prob. 38HP Ch. 4.1 - Prob. 39HP Ch. 4.1 - Prob. 40HP Ch. 4.1 - Prob. 41HP Ch. 4.1 - Prob. 42HP Ch. 4.1 - Prob. 43HP Ch. 4.1 - Prob. 44HP Ch. 4.1 - Prob. 45STP Ch. 4.1 - Prob. 46STP Ch. 4.1 - Prob. 47STP Ch. 4.1 - Prob. 48STP Ch. 4.1 - Prob. 49STP Ch. 4.1 - Prob. 50STP Ch. 4.1 - Prob. 51STP Ch. 4.1 - Prob. 52STP Ch. 4.1 - Prob. 53S Ch. 4.1 - Prob. 54S Ch. 4.1 - Prob. 55S Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.2 - Prob. 1ACYP Ch. 4.2 - Prob. 1BCYP Ch. 4.2 - Prob. 2CYP Ch. 4.2 - Prob. 3CYP Ch. 4.2 - Prob. 4CYP Ch. 4.2 - Prob. 1CYU Ch. 4.2 - Prob. 2CYU Ch. 4.2 - Prob. 3CYU Ch. 4.2 - Prob. 4CYU Ch. 4.2 - Prob. 5CYU Ch. 4.2 - Prob. 6CYU Ch. 4.2 - Prob. 7CYU Ch. 4.2 - Prob. 8CYU Ch. 4.2 - Prob. 9CYU Ch. 4.2 - Prob. 10CYU Ch. 4.2 - Prob. 11CYU Ch. 4.2 - Prob. 12PPS Ch. 4.2 - Prob. 13PPS Ch. 4.2 - Prob. 14PPS Ch. 4.2 - Prob. 15PPS Ch. 4.2 - Prob. 16PPS Ch. 4.2 - Prob. 17PPS Ch. 4.2 - Prob. 18PPS Ch. 4.2 - Prob. 19PPS Ch. 4.2 - Prob. 20PPS Ch. 4.2 - Prob. 21PPS Ch. 4.2 - Prob. 22PPS Ch. 4.2 - Prob. 23PPS Ch. 4.2 - Prob. 24PPS Ch. 4.2 - Prob. 25PPS Ch. 4.2 - Prob. 26PPS Ch. 4.2 - Prob. 27PPS Ch. 4.2 - Prob. 28PPS Ch. 4.2 - Prob. 29PPS Ch. 4.2 - Prob. 30PPS Ch. 4.2 - Prob. 31PPS Ch. 4.2 - Prob. 32PPS Ch. 4.2 - Prob. 33PPS Ch. 4.2 - Prob. 34PPS Ch. 4.2 - Prob. 35HP Ch. 4.2 - Prob. 36HP Ch. 4.2 - Prob. 37HP Ch. 4.2 - Prob. 38HP Ch. 4.2 - Prob. 39HP Ch. 4.2 - Prob. 40HP Ch. 4.2 - Prob. 41HP Ch. 4.2 - Prob. 42HP Ch. 4.2 - Prob. 43HP Ch. 4.2 - Prob. 44HP Ch. 4.2 - Prob. 45STP Ch. 4.2 - Prob. 46STP Ch. 4.2 - Prob. 47STP Ch. 4.2 - Prob. 48STP Ch. 4.2 - Prob. 49STP Ch. 4.2 - Prob. 50STP Ch. 4.2 - Prob. 51STP Ch. 4.2 - Prob. 52STP Ch. 4.2 - Prob. 53STP Ch. 4.2 - Prob. 54STP Ch. 4.2 - Prob. 55STP Ch. 4.2 - Prob. 56S Ch. 4.2 - Prob. 57S Ch. 4.2 - Prob. 58S Ch. 4.3 - Prob. 1ACYP Ch. 4.3 - Prob. 1BCYP Ch. 4.3 - Prob. 2CYP Ch. 4.3 - Prob. 3CYP Ch. 4.3 - Prob. 4CYP Ch. 4.3 - Prob. 5CYP Ch. 4.3 - Prob. 1CYU Ch. 4.3 - Prob. 2CYU Ch. 4.3 - Prob. 3CYU Ch. 4.3 - Prob. 4CYU Ch. 4.3 - Prob. 5CYU Ch. 4.3 - Prob. 6CYU Ch. 4.3 - Prob. 7CYU Ch. 4.3 - Prob. 8CYU Ch. 4.3 - Prob. 9CYU Ch. 4.3 - Prob. 10CYU Ch. 4.3 - Prob. 11CYU Ch. 4.3 - Prob. 12CYU Ch. 4.3 - Prob. 13CYU Ch. 4.3 - Prob. 14CYU Ch. 4.3 - Prob. 15PPS Ch. 4.3 - Prob. 16PPS Ch. 4.3 - Prob. 17PPS Ch. 4.3 - Prob. 18PPS Ch. 4.3 - Prob. 19PPS Ch. 4.3 - Prob. 20PPS Ch. 4.3 - Prob. 21PPS Ch. 4.3 - Prob. 22PPS Ch. 4.3 - Prob. 23PPS Ch. 4.3 - Prob. 24PPS Ch. 4.3 - Prob. 25PPS Ch. 4.3 - Prob. 26PPS Ch. 4.3 - Prob. 27PPS Ch. 4.3 - Prob. 28PPS Ch. 4.3 - Prob. 29PPS Ch. 4.3 - Prob. 30PPS Ch. 4.3 - Prob. 31PPS Ch. 4.3 - Prob. 32PPS Ch. 4.3 - Prob. 33PPS Ch. 4.3 - Prob. 34PPS Ch. 4.3 - Prob. 35PPS Ch. 4.3 - Prob. 36PPS Ch. 4.3 - Prob. 37PPS Ch. 4.3 - Prob. 38PPS Ch. 4.3 - Prob. 39PPS Ch. 4.3 - Prob. 40PPS Ch. 4.3 - Prob. 41PPS Ch. 4.3 - Prob. 42PPS Ch. 4.3 - Prob. 43PPS Ch. 4.3 - Prob. 44PPS Ch. 4.3 - Prob. 45PPS Ch. 4.3 - Prob. 46HP Ch. 4.3 - Prob. 47HP Ch. 4.3 - Prob. 48HP Ch. 4.3 - Prob. 49HP Ch. 4.3 - Prob. 50HP Ch. 4.3 - Prob. 51HP Ch. 4.3 - Prob. 52HP Ch. 4.3 - Prob. 53HP Ch. 4.3 - Prob. 54HP Ch. 4.3 - Prob. 55STP Ch. 4.3 - Prob. 56STP Ch. 4.3 - Prob. 57STP Ch. 4.3 - Prob. 58STP Ch. 4.3 - Prob. 59STP Ch. 4.3 - Prob. 60STP Ch. 4.3 - Prob. 61STP Ch. 4.3 - Prob. 62STP Ch. 4.3 - Prob. 63S Ch. 4.3 - Prob. 64S Ch. 4.3 - Prob. 65S Ch. 4.4 - Prob. 1CYP Ch. 4.4 - Prob. 2CYP Ch. 4.4 - Prob. 3CYP Ch. 4.4 - Prob. 4CYP Ch. 4.4 - Prob. 5CYP Ch. 4.4 - Prob. 1CYU Ch. 4.4 - Prob. 2CYU Ch. 4.4 - Prob. 3CYU Ch. 4.4 - Prob. 4CYU Ch. 4.4 - Prob. 5CYU Ch. 4.4 - Prob. 6CYU Ch. 4.4 - Prob. 7CYU Ch. 4.4 - Prob. 8CYU Ch. 4.4 - Prob. 9CYU Ch. 4.4 - Prob. 10PPS Ch. 4.4 - Prob. 11PPS Ch. 4.4 - Prob. 12PPS Ch. 4.4 - Prob. 13PPS Ch. 4.4 - Prob. 14PPS Ch. 4.4 - Prob. 15PPS Ch. 4.4 - Prob. 16PPS Ch. 4.4 - Prob. 17PPS Ch. 4.4 - Prob. 18PPS Ch. 4.4 - Prob. 19PPS Ch. 4.4 - Prob. 20PPS Ch. 4.4 - Prob. 21PPS Ch. 4.4 - Prob. 22PPS Ch. 4.4 - Prob. 23PPS Ch. 4.4 - Prob. 24PPS Ch. 4.4 - Prob. 25PPS Ch. 4.4 - Prob. 26PPS Ch. 4.4 - Prob. 27PPS Ch. 4.4 - Prob. 28PPS Ch. 4.4 - Prob. 29PPS Ch. 4.4 - Prob. 30PPS Ch. 4.4 - Prob. 31PPS Ch. 4.4 - Prob. 32PPS Ch. 4.4 - Prob. 33PPS Ch. 4.4 - Prob. 34PPS Ch. 4.4 - Prob. 35PPS Ch. 4.4 - Prob. 36PPS Ch. 4.4 - Prob. 37PPS Ch. 4.4 - Prob. 38PPS Ch. 4.4 - Prob. 39PPS Ch. 4.4 - Prob. 40PPS Ch. 4.4 - Prob. 41PPS Ch. 4.4 - Prob. 42HP Ch. 4.4 - Prob. 43HP Ch. 4.4 - Prob. 44HP Ch. 4.4 - Prob. 45HP Ch. 4.4 - Prob. 46HP Ch. 4.4 - Prob. 47HP Ch. 4.4 - Prob. 48HP Ch. 4.4 - Prob. 49HP Ch. 4.4 - Prob. 50HP Ch. 4.4 - Prob. 51HP Ch. 4.4 - Prob. 52HP Ch. 4.4 - Prob. 53STP Ch. 4.4 - Prob. 54STP Ch. 4.4 - Prob. 55STP Ch. 4.4 - Prob. 56STP Ch. 4.4 - Prob. 57STP Ch. 4.4 - Prob. 58STP Ch. 4.4 - Prob. 59STP Ch. 4.4 - Prob. 60STP Ch. 4.4 - Prob. 61STP Ch. 4.4 - Prob. 62S Ch. 4.4 - Prob. 63S Ch. 4.4 - Prob. 64S Ch. 4.4 - Prob. 1E Ch. 4.4 - Prob. 2E Ch. 4.4 - Prob. 3E Ch. 4.4 - Prob. 4E Ch. 4.4 - Prob. 5E Ch. 4.4 - Prob. 6E Ch. 4.4 - Prob. 7E Ch. 4.4 - Prob. 8E Ch. 4.4 - Prob. 9E Ch. 4.4 - Prob. 10E Ch. 4.4 - Prob. 11E Ch. 4.4 - Prob. 12E Ch. 4.5 - Prob. 1ACYP Ch. 4.5 - Prob. 1BCYP Ch. 4.5 - Prob. 2ACYP Ch. 4.5 - Prob. 2BCYP Ch. 4.5 - Prob. 3CYP Ch. 4.5 - Prob. 4ACYP Ch. 4.5 - Prob. 4BCYP Ch. 4.5 - Prob. 5ACYP Ch. 4.5 - Prob. 5BCYP Ch. 4.5 - Prob. 1CYU Ch. 4.5 - Prob. 2CYU Ch. 4.5 - Prob. 3CYU Ch. 4.5 - Prob. 4CYU Ch. 4.5 - Prob. 5CYU Ch. 4.5 - Prob. 6CYU Ch. 4.5 - Prob. 7CYU Ch. 4.5 - Prob. 8CYU Ch. 4.5 - Prob. 9CYU Ch. 4.5 - Prob. 10CYU Ch. 4.5 - Prob. 11CYU Ch. 4.5 - Prob. 12CYU Ch. 4.5 - Prob. 13CYU Ch. 4.5 - Prob. 14CYU Ch. 4.5 - Prob. 15CYU Ch. 4.5 - Prob. 16CYU Ch. 4.5 - Prob. 17CYU Ch. 4.5 - Prob. 18CYU Ch. 4.5 - Prob. 19CYU Ch. 4.5 - Prob. 20CYU Ch. 4.5 - Prob. 21CYU Ch. 4.5 - Prob. 22CYU Ch. 4.5 - Prob. 23CYU Ch. 4.5 - Prob. 24CYU Ch. 4.5 - Prob. 25CYU Ch. 4.5 - Prob. 26PPS Ch. 4.5 - Prob. 27PPS Ch. 4.5 - Prob. 28PPS Ch. 4.5 - Prob. 29PPS Ch. 4.5 - Prob. 30PPS Ch. 4.5 - Prob. 31PPS Ch. 4.5 - Prob. 32PPS Ch. 4.5 - Prob. 33PPS Ch. 4.5 - Prob. 34PPS Ch. 4.5 - Prob. 35PPS Ch. 4.5 - Prob. 36PPS Ch. 4.5 - Prob. 37PPS Ch. 4.5 - Prob. 38PPS Ch. 4.5 - Prob. 39PPS Ch. 4.5 - Prob. 40PPS Ch. 4.5 - Prob. 41PPS Ch. 4.5 - Prob. 42PPS Ch. 4.5 - Prob. 43PPS Ch. 4.5 - Prob. 44PPS Ch. 4.5 - Prob. 45PPS Ch. 4.5 - Prob. 46PPS Ch. 4.5 - Prob. 47PPS Ch. 4.5 - Prob. 48PPS Ch. 4.5 - Prob. 49PPS Ch. 4.5 - Prob. 50PPS Ch. 4.5 - Prob. 51PPS Ch. 4.5 - Prob. 52PPS Ch. 4.5 - Prob. 53PPS Ch. 4.5 - Prob. 54PPS Ch. 4.5 - Prob. 55PPS Ch. 4.5 - Prob. 56HP Ch. 4.5 - Prob. 57HP Ch. 4.5 - Prob. 58HP Ch. 4.5 - Prob. 59HP Ch. 4.5 - Prob. 60HP Ch. 4.5 - Prob. 61HP Ch. 4.5 - Prob. 62HP Ch. 4.5 - Prob. 63HP Ch. 4.5 - Prob. 64HP Ch. 4.5 - Prob. 65HP Ch. 4.5 - Prob. 66STP Ch. 4.5 - Prob. 67STP Ch. 4.5 - Prob. 68STP Ch. 4.5 - Prob. 69STP Ch. 4.5 - Prob. 70STP Ch. 4.5 - Prob. 71STP Ch. 4.5 - Prob. 72STP Ch. 4.5 - Prob. 73STP Ch. 4.5 - Prob. 74S Ch. 4.5 - Prob. 75S Ch. 4.5 - Prob. 76S Ch. 4.6 - Prob. 1CYP Ch. 4.6 - Prob. 2ACYP Ch. 4.6 - Prob. 2BCYP Ch. 4.6 - Prob. 3CYP Ch. 4.6 - Prob. 1CYU Ch. 4.6 - Prob. 2CYU Ch. 4.6 - Prob. 3CYU Ch. 4.6 - Prob. 4CYU Ch. 4.6 - Prob. 5CYU Ch. 4.6 - Prob. 6CYU Ch. 4.6 - Prob. 7CYU Ch. 4.6 - Prob. 8CYU Ch. 4.6 - Prob. 9CYU Ch. 4.6 - Prob. 10CYU Ch. 4.6 - Prob. 11CYU Ch. 4.6 - Prob. 12CYU Ch. 4.6 - Prob. 13PPS Ch. 4.6 - Prob. 14PPS Ch. 4.6 - Prob. 15PPS Ch. 4.6 - Prob. 16PPS Ch. 4.6 - Prob. 17PPS Ch. 4.6 - Prob. 18PPS Ch. 4.6 - Prob. 19PPS Ch. 4.6 - Prob. 20PPS Ch. 4.6 - Prob. 21PPS Ch. 4.6 - Prob. 22PPS Ch. 4.6 - Prob. 23PPS Ch. 4.6 - Prob. 24PPS Ch. 4.6 - Prob. 25PPS Ch. 4.6 - Prob. 26PPS Ch. 4.6 - Prob. 27PPS Ch. 4.6 - Prob. 28PPS Ch. 4.6 - Prob. 29PPS Ch. 4.6 - Prob. 30PPS Ch. 4.6 - Prob. 31PPS Ch. 4.6 - Prob. 32PPS Ch. 4.6 - Prob. 33PPS Ch. 4.6 - Prob. 34PPS Ch. 4.6 - Prob. 35PPS Ch. 4.6 - Prob. 36PPS Ch. 4.6 - Prob. 37PPS Ch. 4.6 - Prob. 38HP Ch. 4.6 - Prob. 39HP Ch. 4.6 - Prob. 40HP Ch. 4.6 - Prob. 41HP Ch. 4.6 - Prob. 42HP Ch. 4.6 - Prob. 43HP Ch. 4.6 - Prob. 44HP Ch. 4.6 - Prob. 45HP Ch. 4.6 - Prob. 46HP Ch. 4.6 - Prob. 47STP Ch. 4.6 - Prob. 48STP Ch. 4.6 - Prob. 49STP Ch. 4.6 - Prob. 50STP Ch. 4.6 - Prob. 51STP Ch. 4.6 - Prob. 52S Ch. 4.6 - Prob. 53S Ch. 4.6 - Prob. 54S Ch. 4.6 - Prob. 1E Ch. 4.6 - Prob. 2E Ch. 4.6 - Prob. 3E Ch. 4.6 - Prob. 4E Ch. 4.6 - Prob. 5E Ch. 4.6 - Prob. 6E Ch. 4 - Prob. 1QC Ch. 4 - Prob. 2QC Ch. 4 - Prob. 3QC Ch. 4 - Prob. 4QC Ch. 4 - Prob. 5QC Ch. 4 - Prob. 6QC Ch. 4 - Prob. 7QC Ch. 4 - Prob. 8QC Ch. 4 - Prob. 9QC Ch. 4 - Prob. 10QC Ch. 4 - Prob. 11QC Ch. 4 - Prob. 12QC Ch. 4 - Prob. 13QC Ch. 4 - Prob. 14QC Ch. 4 - Prob. 15QC Ch. 4 - Prob. 16QC Ch. 4 - Prob. 1MCQ Ch. 4 - Prob. 2MCQ Ch. 4 - Prob. 3MCQ Ch. 4 - Prob. 4MCQ Ch. 4 - Prob. 5MCQ Ch. 4 - Prob. 6MCQ Ch. 4 - Prob. 7MCQ Ch. 4 - Prob. 8MCQ Ch. 4 - Prob. 9MCQ Ch. 4 - Prob. 10MCQ Ch. 4 - Prob. 11MCQ Ch. 4 - Prob. 12MCQ Ch. 4 - Prob. 13MCQ Ch. 4 - Prob. 14MCQ Ch. 4 - Prob. 15MCQ Ch. 4 - Prob. 16MCQ Ch. 4 - Prob. 17MCQ Ch. 4 - Prob. 18MCQ Ch. 4 - Prob. 19MCQ Ch. 4 - Prob. 1SGR Ch. 4 - Prob. 2SGR Ch. 4 - Prob. 3SGR Ch. 4 - Prob. 4SGR Ch. 4 - Prob. 5SGR Ch. 4 - Prob. 6SGR Ch. 4 - Prob. 7SGR Ch. 4 - Prob. 8SGR Ch. 4 - Prob. 9SGR Ch. 4 - Prob. 10SGR Ch. 4 - Prob. 11SGR Ch. 4 - Prob. 12SGR Ch. 4 - Prob. 13SGR Ch. 4 - Prob. 14SGR Ch. 4 - Prob. 15SGR Ch. 4 - Prob. 16SGR Ch. 4 - Prob. 17SGR Ch. 4 - Prob. 18SGR Ch. 4 - Prob. 19SGR Ch. 4 - Prob. 20SGR Ch. 4 - Prob. 21SGR Ch. 4 - Prob. 22SGR Ch. 4 - Prob. 23SGR Ch. 4 - Prob. 24SGR Ch. 4 - Prob. 25SGR Ch. 4 - Prob. 26SGR Ch. 4 - Prob. 27SGR Ch. 4 - Prob. 28SGR Ch. 4 - Prob. 29SGR Ch. 4 - Prob. 30SGR Ch. 4 - Prob. 31SGR Ch. 4 - Prob. 32SGR Ch. 4 - Prob. 33SGR Ch. 4 - Prob. 34SGR Ch. 4 - Prob. 1PT Ch. 4 - Prob. 2PT Ch. 4 - Prob. 3PT Ch. 4 - Prob. 4PT Ch. 4 - Prob. 5PT Ch. 4 - Prob. 6PT Ch. 4 - Prob. 7PT Ch. 4 - Prob. 8PT Ch. 4 - Prob. 9PT Ch. 4 - Prob. 10PT Ch. 4 - Prob. 11PT Ch. 4 - Prob. 12PT Ch. 4 - Prob. 13PT Ch. 4 - Prob. 14PT Ch. 4 - Prob. 15PT Ch. 4 - Prob. 16PT Ch. 4 - Prob. 17PT Ch. 4 - Prob. 18PT Ch. 4 - Prob. 19PT Ch. 4 - Prob. 20PT Ch. 4 - Prob. 21PT Ch. 4 - Prob. 1E Ch. 4 - Prob. 2E Ch. 4 - Prob. 3E Ch. 4 - Prob. 4E Ch. 4 - Prob. 5E Ch. 4 - Prob. 1STP Ch. 4 - Prob. 2STP Ch. 4 - Prob. 3STP Ch. 4 - Prob. 4STP Ch. 4 - Prob. 5STP Ch. 4 - Prob. 6STP Ch. 4 - Prob. 7STP Ch. 4 - Prob. 8STP Ch. 4 - Prob. 9STP Ch. 4 - Prob. 10STP Ch. 4 - Prob. 11STP Ch. 4 - Prob. 12STP Ch. 4 - Prob. 13STP Ch. 4 - Prob. 14STP

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