Explanation Given: The difference of two number is 21. Two times the bigger number is subtracted from 5 times the smaller number to give 33. Procedure used: Solving system of equation by Substitution method: (1) Solve either of the equations for one variable in terms of the other. (If one of the equations is already in this form, you can skip this step.) (2) Substitute the expression found in step 1 into the other equation. (3) Solve the equation containing one variable. (4) Back-substitute the value found in step 3 into one of the original equations and find the value of the remaining variable. (5) Check the solution by substituting in one of the system of given equations. Calculation: Consider x and y as the bigger and smaller numbers. The difference of two numbers is 21. x − y = 21 (1) Two times the bigger number is subtracted from 5 times the smaller number to give 33. The difference between the 5 times of the smaller number and 2 times of the larger number is 33. 5 y − 2 x = 33 − 2 x + 5 y = 33 (2) By using the above procedure, solve the system of equations. Step 1: Isolate the variable y from the equation (1). x − y = 21 x = 21 + y The variable x is in terms of y . Step 2: Substitute 21 + y for x in the equation (2). − 2 x + 5 y = 33 − 2 ( 21 + y ) + 5 y = 33 Here, the variable x is eliminated. Step 3: Solve the above equation

11th Edition

ISBN: 9780134758817

Author: SAUNDERS

Publisher: PEARSON CO

See similar textbooks

Videos

Question

Chapter 11, Problem 3CPS

To determine

To find: The solution of the two equations.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11, Problem 2CPS

Chapter 11, Problem 4CPS

Students have asked these similar questions

How many different passwords are there that contain only digits and lower-case letters and satisfy the given restrictions? (a) Length is 6 and the password must contain at least one digit. (b) Length is 6 and the password must contain at least one digit and at least one letter.

1: Neil Mitchell earns $11/hour. During the most recent week, he received a discretionary bonus of $7,200 and worked 43 hours. Gross Pay: $ 7,689.50 2: Francine Palmer earns $7.90/hour. During the most recent week, she received a nondiscretionary bonus of $2,450 and worked 45 hours. Gross Pay: $ 2,825.25 3: Martin Green earns $11.10/hour. During the most recent week, he received a nondiscretionary bonus of $1,360 and worked 51 hours. Gross Pay: $ 1,987.15 4: Melvin Waxman earns $17.60/hour. During the most recent week, he received a nondiscretionary bonus of $440 and worked 56 hours. Gross Pay: $ 1,425.60

Obtain the linear equation for trend for time series with St² = 140, Ey = 16.91 and Σty= 62.02, m n = 7

Chapter 11 Solutions

EP MATHEMATICS FOR THE TRADES

Ch. 11.1 - Simplify: 2(3 + 2y) 3y Ch. 11.1 - Prob. 2LC Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Prob. 5AE Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Prob. 7AE Ch. 11.1 - Solve each of the following systems of equations...

Knowledge Booster

Learn more about

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

The solution of the two equations.

Solution Summary: The author explains the procedure used to solve the system of equations by Substitution method.

Videos

To find: The solution of the two equations.

Want to see the full answer?

Chapter 11 Solutions