Explanation Given: The equations of given system are 2 a − 3 b = 0 and 3 a + b = 22 . 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 3 a + b = 22 to simplify as the independent value of b in term of a . Subtract 3 a from both the sides of the equation and simplify. 3 a + b = 22 3 a + b − 3 a = 22 − 3 a b = 22 − 3 a …… (1) The another equation is 2 a − 3 b = 0 . Substitute 22 − 3 a for b from (1) in another equation. 2 a − 3 ( 22 − 3 a ) = 0 2 a − 66 + 9 a = 0 11 a − 66 = 0 Add 66 to both the sides of the equation. 11 a − 66 + 66 = 0 + 66 11 a = 66 Divide both sides of equation by 11 . 11 a 11 = 66 11 a = 6 Substitute 11 for a in equation (1)...

Beginning Algebra: Early Graphing; MathXL -- Valuepack Access Card (12-month access); Worksheets with the Math Coach for Beginning Algebra: Early Graphing (4th Edition)

4th Edition

ISBN: 9780134647524

Author: John Jr Tobey Jr., Jeffrey Slater

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 4.2, Problem 19E

To determine

The solution for given system of equations by substitution method.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.2, Problem 18E

Chapter 4.2, Problem 20E

Students have asked these similar questions

Solve the following systems of equations and show all work.y = x2 + 3y = x + 5 Please type out answer

Solve the following system of equations. Show all work and solutions.y = 2x2 + 6x + 1y = −4x2 + 1 Please type out answer

Dalia buys 20 collectible gems per month. Grace sells 10 gems from her collection of 120 each month. When will Dalia have more gems than Grace? Show your work. Dear Student If You Face any issue let me know i will solve your all doubt. I will provide solution again in more detail systematic and organized way. I would also like my last 3 questions credited to me

Chapter 4 Solutions

Beginning Algebra: Early Graphing; MathXL -- Valuepack Access Card (12-month access); Worksheets with the Math Coach for 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. The solution to a system of two...Ch. 4.2 - Prob. 34E Ch. 4.2 - Prob. 35E Ch. 4.2 - Prob. 36E Ch. 4.2 - Prob. 37E Ch. 4.2 - Prob. 38E Ch. 4.2 - Prob. 39E Ch. 4.2 - Prob. 1QQ Ch. 4.2 - Prob. 2QQ Ch. 4.2 - Prob. 3QQ Ch. 4.2 - Prob. 4QQ Ch. 4.3 - Prob. 1E Ch. 4.3 - Prob. 2E Ch. 4.3 - Prob. 3E Ch. 4.3 - Prob. 4E Ch. 4.3 - Prob. 5E Ch. 4.3 - Prob. 6E Ch. 4.3 - Prob. 7E Ch. 4.3 - Prob. 8E Ch. 4.3 - Prob. 9E Ch. 4.3 - Prob. 10E Ch. 4.3 - Prob. 11E Ch. 4.3 - Prob. 12E Ch. 4.3 - Prob. 13E Ch. 4.3 - Prob. 14E Ch. 4.3 - Prob. 15E Ch. 4.3 - Prob. 16E Ch. 4.3 - Prob. 17E Ch. 4.3 - Prob. 18E Ch. 4.3 - Prob. 19E Ch. 4.3 - Prob. 20E Ch. 4.3 - Prob. 21E Ch. 4.3 - Prob. 22E Ch. 4.3 - Prob. 23E Ch. 4.3 - Prob. 24E Ch. 4.3 - Prob. 25E Ch. 4.3 - Prob. 26E Ch. 4.3 - Prob. 27E Ch. 4.3 - Prob. 28E Ch. 4.3 - Prob. 29E Ch. 4.3 - Prob. 30E Ch. 4.3 - Prob. 31E Ch. 4.3 - Prob. 32E Ch. 4.3 - Prob. 33E Ch. 4.3 - Prob. 34E Ch. 4.3 - Prob. 35E Ch. 4.3 - Prob. 36E Ch. 4.3 - Prob. 37E Ch. 4.3 - Prob. 38E Ch. 4.3 - Prob. 39E Ch. 4.3 - Prob. 40E Ch. 4.3 - Prob. 41E Ch. 4.3 - Prob. 42E Ch. 4.3 - Prob. 43E Ch. 4.3 - Prob. 44E Ch. 4.3 - Prob. 45E Ch. 4.3 - Prob. 46E Ch. 4.3 - Prob. 47E Ch. 4.3 - Prob. 48E Ch. 4.3 - Prob. 49E Ch. 4.3 - Prob. 50E Ch. 4.3 - Prob. 51E Ch. 4.3 - Prob. 52E Ch. 4.3 - Prob. 53E Ch. 4.3 - Prob. 54E Ch. 4.3 - Prob. 55E Ch. 4.3 - Prob. 1QQ Ch. 4.3 - Prob. 2QQ Ch. 4.3 - Prob. 3QQ Ch. 4.3 - Prob. 4QQ Ch. 4.3 - Prob. 1DYK Ch. 4.3 - Prob. 2DYK Ch. 4.3 - Prob. 3DYK Ch. 4.3 - Prob. 4DYK Ch. 4.3 - Prob. 5DYK Ch. 4.3 - Prob. 6DYK 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. 4.4 - If possible, solve by any algebraic method...Ch. 4.4 - Prob. 14E Ch. 4.4 - Prob. 15E Ch. 4.4 - Prob. 16E Ch. 4.4 - Prob. 17E Ch. 4.4 - Prob. 18E Ch. 4.4 - Prob. 19E Ch. 4.4 - Prob. 20E Ch. 4.4 - Prob. 21E Ch. 4.4 - Prob. 22E Ch. 4.4 - Prob. 23E Ch. 4.4 - Prob. 24E Ch. 4.4 - Prob. 25E Ch. 4.4 - Prob. 26E Ch. 4.4 - Prob. 27E Ch. 4.4 - Prob. 28E Ch. 4.4 - Prob. 29E Ch. 4.4 - Prob. 30E Ch. 4.4 - Prob. 31E Ch. 4.4 - Prob. 32E Ch. 4.4 - Prob. 33E Ch. 4.4 - Prob. 34E Ch. 4.4 - Prob. 1QQ Ch. 4.4 - Prob. 2QQ Ch. 4.4 - Prob. 3QQ Ch. 4.4 - Prob. 4QQ Ch. 4.5 - Prob. 1E Ch. 4.5 - Prob. 2E Ch. 4.5 - Prob. 3E Ch. 4.5 - Prob. 4E Ch. 4.5 - Prob. 5E Ch. 4.5 - Prob. 6E Ch. 4.5 - Prob. 7E Ch. 4.5 - Prob. 8E Ch. 4.5 - Prob. 9E Ch. 4.5 - Prob. 10E Ch. 4.5 - Prob. 11E Ch. 4.5 - Prob. 12E Ch. 4.5 - Prob. 13E Ch. 4.5 - Prob. 14E Ch. 4.5 - Prob. 15E Ch. 4.5 - Prob. 16E Ch. 4.5 - Prob. 17E Ch. 4.5 - Prob. 18E Ch. 4.5 - Prob. 19E Ch. 4.5 - Prob. 20E Ch. 4.5 - Prob. 21E Ch. 4.5 - Prob. 22E Ch. 4.5 - Prob. 23E Ch. 4.5 - Prob. 24E Ch. 4.5 - Prob. 25E Ch. 4.5 - Prob. 26E Ch. 4.5 - Prob. 1QQ Ch. 4.5 - Prob. 2QQ Ch. 4.5 - Prob. 3QQ Ch. 4.5 - Prob. 4QQ Ch. 4.5 - Prob. 1CEP Ch. 4.5 - Prob. 2CEP Ch. 4 - Prob. 1RP Ch. 4 - Prob. 2RP Ch. 4 - Prob. 3RP Ch. 4 - Prob. 4RP Ch. 4 - Prob. 5RP Ch. 4 - Prob. 6RP Ch. 4 - Prob. 7RP Ch. 4 - Prob. 8RP Ch. 4 - Prob. 9RP Ch. 4 - Prob. 10RP Ch. 4 - Prob. 11RP Ch. 4 - Prob. 12RP Ch. 4 - Prob. 13RP Ch. 4 - Prob. 14RP Ch. 4 - Prob. 15RP Ch. 4 - Prob. 16RP Ch. 4 - Prob. 17RP Ch. 4 - Prob. 18RP Ch. 4 - Prob. 19RP Ch. 4 - Prob. 20RP Ch. 4 - Prob. 21RP Ch. 4 - Prob. 22RP Ch. 4 - Prob. 23RP Ch. 4 - Prob. 24RP Ch. 4 - Prob. 25RP Ch. 4 - Prob. 26RP Ch. 4 - Prob. 27RP Ch. 4 - Prob. 28RP Ch. 4 - Prob. 29RP Ch. 4 - Prob. 30RP Ch. 4 - Prob. 31RP Ch. 4 - Prob. 32RP Ch. 4 - Prob. 33RP Ch. 4 - Prob. 34RP Ch. 4 - Prob. 35RP Ch. 4 - Prob. 36RP Ch. 4 - Prob. 37RP Ch. 4 - Prob. 38RP Ch. 4 - Prob. 39RP Ch. 4 - Prob. 40RP Ch. 4 - Prob. 41RP Ch. 4 - Prob. 42RP Ch. 4 - Prob. 43RP Ch. 4 - Prob. 44RP Ch. 4 - Prob. 45RP Ch. 4 - Prob. 46RP Ch. 4 - Prob. 1HAD Ch. 4 - Prob. 2HAD Ch. 4 - Prob. 3HAD Ch. 4 - Prob. 4HAD Ch. 4 - Prob. 5HAD Ch. 4 - Prob. 6HAD Ch. 4 - Prob. 7HAD Ch. 4 - Prob. 8HAD Ch. 4 - Prob. 9HAD Ch. 4 - Prob. 10HAD Ch. 4 - Prob. 11HAD Ch. 4 - Prob. 12HAD Ch. 4 - Prob. 13HAD Ch. 4 - Prob. 14HAD Ch. 4 - Prob. 15HAD Ch. 4 - Prob. 16HAD Ch. 4 - Prob. 17HAD Ch. 4 - Prob. 1YT Ch. 4 - Prob. 2YT Ch. 4 - Prob. 3YT Ch. 4 - Prob. 4YT Ch. 4 - Prob. 5YT Ch. 4 - Prob. 6YT

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.