Explanation Procedure used: Solving linear systems by Addition: (1) If necessary, rewrite both equation in the form of A x + B y = C . (2) If necessary, multiply either equation or both equation by appropriate nonzero numbers so that the sum of the x- coefficient or the sum of the y- coefficients is 0. (3) Add the equation in step 2. The sum is an equation in one variable. (4) Solve the equation in one variable. (5) Back-substitute the value found in step 4 either of the given equations and solve for the other variable. (6) Check the solution in either of the original equations. Calculation: Consider the given equations. 5 x − 4 y = 1 (1) 3 x − 6 y = 6 (2) By using the above procedure, solve the system of equations. Step 1: The equations (1) and (2) are in the form A x + B y = C . Step 2: Let eliminate the term x. Consider the x term in each equation that are 5 x and 3 x . To eliminate x , multiply each term of the equation (1) by 3. That is, 15 x − 12 y = 3 . (3) Similarly multiply each term of the equation (2) by –5. That is, − 15 x + 30 y = − 30 . (4) Step 3: Now add the equation (3) and (4) as follows. 15 x − 12 y = 3 − 15 x + 30 y = − 30 _ 0 x + 18 y = − 27 Step 4: Solve the above equation

Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book

10th Edition

ISBN: 9780133347777

Author: Robert A. Carman Emeritus, Hal M. Saunders

Publisher: PEARSON

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Chapter 11.1, Problem 7BE

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To solve: The system of equation 5x−4y=1 and 3x−6y=6.

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Chapter 11.1, Problem 6BE

Chapter 11.1, Problem 8BE

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You may need to use the appropriate appendix table or technology to answer this question. You are given the following information obtained from a random sample of 4 observations. 24 48 31 57 You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 49. (Assume the population is normally distributed.) (a) State the null and the alternative hypotheses. (Enter != for ≠ as needed.) H0: Ha: (b) Determine the test statistic. (Round your answer to three decimal places.) (c) Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 49. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. There is insufficient evidence to conclude that the mean of the population is different from 49.Do not reject H0. There is sufficient evidence to conclude that the…

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Chapter 11 Solutions

Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book

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....

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The system of equation 5 x − 4 y = 1 and 3 x − 6 y = 6 .

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To solve: The system of equation 5x−4y=1 and 3x−6y=6.

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Chapter 11 Solutions