(a) Explanation Given: The sum of two numbers is 35 and when twice the smaller number decreased by the larger number is 10. 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 smaller and larger number, respectively. The sum of two numbers is 35. x + y = 35 x = 35 − y (1) Twice the smaller number decreased by the larger number is 10. 2 x − y = 10 (2) By using the above procedure, solve the system of equations. Step 1: Since the equation (1) is already in terms of y , no need to isolate the variables. Step 2: Substitute 35 − y for x in the equation (2). 2 x − y = 10 2 ( 35 − y ) − y = 10 Here, the variable x is eliminated. Step 3: Solve the above equation. 2 ( 35 − y ) − y = 10 70 − 2 y − y = 10 ( Apply the distributive property ) (b) To determine To find: The dimension of the rectangular vent.

10th Edition

ISBN: 8220100803055

Author: SAUNDERS

Publisher: PEARSON

See similar textbooks

Videos

Question

Chapter 11, Problem 2P

(a)

To determine

To find: The smaller and larger number.

(b)

To determine

To find: The dimension of the rectangular vent.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11, Problem 1P

Chapter 11, Problem 3P

Students have asked these similar questions

Show that the Laplace equation in Cartesian coordinates: J²u J²u + = 0 მx2 Jy2 can be reduced to the following form in cylindrical polar coordinates: 湯( ди 1 8²u + Or 7,2 მ)2 = 0.

Draw the following graph on the interval πT 5π < x < x≤ 2 2 y = 2 cos(3(x-77)) +3 6+ 5 4- 3 2 1 /2 -π/3 -π/6 Clear All Draw: /6 π/3 π/2 2/3 5/6 x 7/6 4/3 3/2 5/311/6 2 13/67/3 5 Question Help: Video Submit Question Jump to Answer

Determine the moment about the origin O of the force F4i-3j+5k that acts at a Point A. Assume that the position vector of A is (a) r =2i+3j-4k, (b) r=-8i+6j-10k, (c) r=8i-6j+5k

Chapter 11 Solutions

EBK MATHEMATICS FOR THE TRADES

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...Ch. 11.1 - Prob. 1BE 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 smaller and larger number.

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

Videos

To find: The smaller and larger number.

To find: The dimension of the rectangular vent.

Want to see the full answer?

Chapter 11 Solutions