BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015

1st Edition

ISBN: 9781608408382

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Question

Chapter 2.3, Problem 42E

To determine

ToSolve:Theequation $−3n+2=2n−3$ and check the solution.

Expert Solution & Answer

Answer to Problem 42E

Thesolution of the given equation is $n=1$

Explanation of Solution

Given:

The equation $−3n+2=2n−3$

Concept Used:

Solving an equation means, to find the value of the unknown in the given equation.

Calculation:

For the given equation $−3n+2=2n−3$

Solving it

$−3n+2=2n−3−3n+2−2n=2n−3−2n Subtract 2n from each side−5n+2=−3 Simplify−5n+2−2=−3−2 Subtract 2 from each side$

$−5n=−5 Simplify−5n5=−55 Divide each side by 5−n=−1 Simplify(−1)(−n)=(−1)(−1) Multiply each side by −1$

$n=1 Simplify$

Therefore, the solution of the given equation is $n=1$

Checking the solution.

Consider the equation $−3n+2=2n−3$

Substituting the solution of the equation in both the sides.

Left-hand side of the equation.

$−3n+2=−3(1)+2 Substituting solution h=−9=−3+2 Simplify=−1 Simplify$

Right-hand side of the equation.

$2n−3=2(1)−3 Substituting solution h=−9=2−3 Simplify=−1 Simplify$

Since, after substitution, left-hand side is coming out to be equal to the right-hand side.

Hence, the solution $n=1$ of the given equation is correct.

Conclusion:

Thesolution of the given equation is $n=1$

Chapter 2.3, Problem 41E

Chapter 2.3, Problem 43E

Chapter 2 Solutions

BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015

Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - Prob. 5E Ch. 2.1 - Prob. 6E Ch. 2.1 - Prob. 7E Ch. 2.1 - Prob. 8E Ch. 2.1 - Prob. 9E Ch. 2.1 - Prob. 10E

Ch. 2.1 - Prob. 11E Ch. 2.1 - Prob. 12E Ch. 2.1 - Prob. 13E Ch. 2.1 - Prob. 14E Ch. 2.1 - Prob. 15E Ch. 2.1 - Prob. 16E Ch. 2.1 - Prob. 17E Ch. 2.1 - Prob. 18E Ch. 2.1 - Prob. 19E Ch. 2.1 - Prob. 20E Ch. 2.1 - Prob. 21E Ch. 2.1 - Prob. 22E Ch. 2.1 - Prob. 23E Ch. 2.1 - Prob. 24E Ch. 2.1 - Prob. 25E Ch. 2.1 - Prob. 26E Ch. 2.1 - Prob. 27E Ch. 2.1 - Prob. 28E Ch. 2.1 - Prob. 29E Ch. 2.1 - Prob. 30E Ch. 2.1 - Prob. 31E Ch. 2.1 - Prob. 32E Ch. 2.1 - Prob. 33E Ch. 2.1 - Prob. 34E Ch. 2.1 - Prob. 35E Ch. 2.1 - Prob. 36E Ch. 2.1 - Prob. 37E Ch. 2.1 - Prob. 38E Ch. 2.1 - Prob. 39E Ch. 2.1 - Prob. 40E Ch. 2.1 - Prob. 41E Ch. 2.1 - Prob. 42E Ch. 2.1 - Prob. 43E Ch. 2.1 - Prob. 44E Ch. 2.1 - Prob. 45E Ch. 2.1 - Prob. 46E Ch. 2.1 - Prob. 47E Ch. 2.1 - Prob. 48E Ch. 2.1 - Prob. 49E Ch. 2.1 - Prob. 50E Ch. 2.1 - Prob. 51E Ch. 2.1 - Prob. 52E Ch. 2.1 - Prob. 53E Ch. 2.1 - Prob. 54E Ch. 2.1 - Prob. 55E Ch. 2.1 - Prob. 56E Ch. 2.1 - Prob. 57E Ch. 2.1 - Prob. 58E Ch. 2.1 - Prob. 59E Ch. 2.1 - Prob. 60E Ch. 2.1 - 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ToSolve: Theequation − 3 n + 2 = 2 n − 3 and check the solution.