Explanation Given: The equations of given system are 8 x + 2 y − 7 = 0 and − 2 x − y + 2 = 0 . Calculation: To solve the system of two variables equations by substitution method, simplify one equation as independent of one variable. Then substitute the value of independent variable into second equation to compute the solution. Take an equation − 2 x − y + 2 = 0 to simplify as the independent value of y in term of x . Add y to both the sides of the equation and simplify. − 2 x − y + 2 = 0 − 2 x − y + 2 + y = 0 + y − 2 x + 2 = y Rewrite the equation as, y = − 2 x + 2 …… (1) The another equation is 8 x + 2 y − 7 = 0 . Substitute − 2 x + 2 for y from (1) in another equation. 8 x + 2 ( − 2 x + 2 ) − 7 = 0 8 x − 4 x + 4 − 7 = 0 4 x − 3 = 0 Add 3 to both the sides of the equation. 4 x − 3 + 3 = 0 + 3 4 x = 3 Divide the equation by 4 . 4 x 4 = 3 4 x = 3 4 Substitute 3 4 for x in equation (1)...

Beginning Algebra: Early Graphing (4th Edition)

4th Edition

ISBN: 9780134178974

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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Chapter 4.1, Problem 12E

To determine

The solution for given system of equations by substitution method.

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Chapter 4.1, Problem 11E

Chapter 4.1, Problem 13E

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Chapter 4 Solutions

Beginning Algebra: Early Graphing (4th Edition)

Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E Ch. 4.1 - Prob. 7E Ch. 4.1 - Prob. 8E Ch. 4.1 - Prob. 9E Ch. 4.1 - Prob. 10E

Ch. 4.1 - Prob. 11E Ch. 4.1 - Prob. 12E Ch. 4.1 - Prob. 13E Ch. 4.1 - Prob. 14E Ch. 4.1 - Prob. 15E Ch. 4.1 - Prob. 16E Ch. 4.1 - Prob. 17E Ch. 4.1 - Prob. 18E Ch. 4.1 - Prob. 19E Ch. 4.1 - Prob. 20E Ch. 4.1 - Prob. 21E Ch. 4.1 - Prob. 22E Ch. 4.1 - Prob. 23E Ch. 4.1 - Prob. 24E Ch. 4.1 - Prob. 25E Ch. 4.1 - Prob. 26E Ch. 4.1 - Prob. 27E Ch. 4.1 - Prob. 28E Ch. 4.1 - Prob. 29E Ch. 4.1 - Prob. 30E Ch. 4.1 - Prob. 31E Ch. 4.1 - Prob. 32E Ch. 4.1 - Prob. 33E Ch. 4.1 - Prob. 34E Ch. 4.1 - Prob. 1QQ Ch. 4.1 - Prob. 2QQ Ch. 4.1 - Prob. 3QQ Ch. 4.1 - Prob. 4QQ Ch. 4.2 - Prob. 1E Ch. 4.2 - Prob. 2E Ch. 4.2 - Prob. 3E Ch. 4.2 - Prob. 4E Ch. 4.2 - Prob. 5E Ch. 4.2 - Prob. 6E Ch. 4.2 - Prob. 7E Ch. 4.2 - Prob. 8E Ch. 4.2 - Prob. 9E Ch. 4.2 - Prob. 10E Ch. 4.2 - Prob. 11E Ch. 4.2 - Prob. 12E Ch. 4.2 - Prob. 13E Ch. 4.2 - Prob. 14E Ch. 4.2 - Prob. 15E Ch. 4.2 - Prob. 16E Ch. 4.2 - Prob. 17E Ch. 4.2 - Prob. 18E Ch. 4.2 - Prob. 19E Ch. 4.2 - Prob. 20E Ch. 4.2 - Prob. 21E Ch. 4.2 - Prob. 22E Ch. 4.2 - Prob. 23E Ch. 4.2 - Prob. 24E Ch. 4.2 - Prob. 25E Ch. 4.2 - Prob. 26E Ch. 4.2 - Prob. 27E Ch. 4.2 - Prob. 28E Ch. 4.2 - Prob. 29E Ch. 4.2 - Prob. 30E Ch. 4.2 - Prob. 31E Ch. 4.2 - Prob. 32E Ch. 4.2 - To Think About 33. 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