Explanation Procedure used: “ Solving linear systems by Substitution: Step 1 : Solve one of the equations for one of the unknowns. Choose the equation that is easier to solve for a variable. Step 2: Substitute the expression found in step 1 into the other equation. Step 3: Solve the linear equation in one unknown found in step 2. Step 4: Substitute the value of the variable found in step 3 into one of the original equations to find the value of the other variable. Step 5: Check the answer by substituting the ordered pair into both of the original equations”. Calculation: The given system of equations is, { 2 x − 4 y = 18 ⋯ ( 1 ) 3 x + 5 y = − 3 ⋯ ( 2 ) Use the method of substitution to solve the system. Solve equation (1) for y as follows. 2 x − 4 y = 18 − 2 y = 9 − x y = − 9 2 + 1 2 x Substitute y = − 9 2 + 1 2 x in equation (2). 3 x + 5 y = − 3 3 x + 5 ( − 9 2 + 1 2 x ) = − 3 [ ∵ y = − 9 2 + 1 2 x ] 3 x + 5 2 x = − 3 + 45 2 11 2 x = 39 2 x = 39 11 Substitute x = 39 11 in y = − 9 2 + 1 2 x . Therefore, y = − 9 2 + 1 2 x = − 9 2 + 1 2 ( 39 11 ) = − 99 22 + 39 22 = − 30 11 Therefore ( 39 11 , − 30 11 ) is the solution of the system

3rd Edition

ISBN: 9780321880116

Author: Michael Sullivan III, Katherine R. Struve, Janet Mazzarella

Publisher: PEARSON

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Chapter C.1, Problem 65E

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To solve: The system {2x−4y=183x+5y=−3 using either substitution or elimination.

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Chapter C.1, Problem 64E

Chapter C.1, Problem 66E

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Chapter C Solutions

Elementary & Intermediate Algebra

Ch. C.1 - A___ ___ ___ ___ is a grouping of two or more...Ch. C.1 - A____ of a system of equations consists of values...Ch. C.1 - Prob. 3E Ch. C.1 - Prob. 4E Ch. C.1 - Prob. 5E Ch. C.1 - True or False A system of two linear equations...Ch. C.1 - Prob. 7E Ch. C.1 - Prob. 8E Ch. C.1 - Prob. 9E Ch. C.1 - Prob. 10E

Ch. C.1 - Prob. 11E Ch. C.1 - Prob. 12E Ch. C.1 - Prob. 13E Ch. C.1 - Prob. 14E Ch. C.1 - Prob. 15E Ch. C.1 - Prob. 16E Ch. C.1 - 17.While a system of equations is solved, a false...Ch. C.1 - Prob. 18E Ch. C.1 - Prob. 19E Ch. C.1 - Prob. 20E Ch. C.1 - Prob. 21E Ch. C.1 - In Problems 2022, solve the system. Draw a graph...Ch. C.1 - Prob. 23E Ch. C.1 - Prob. 24E Ch. C.1 - Prob. 25E Ch. C.1 - Prob. 26E Ch. C.1 - Prob. 27E Ch. C.1 - Prob. 28E Ch. C.1 - Prob. 29E Ch. C.1 - Prob. 30E Ch. C.1 - Prob. 31E Ch. C.1 - Prob. 32E Ch. C.1 - Prob. 33E Ch. C.1 - Prob. 34E Ch. C.1 - Prob. 35E Ch. C.1 - Prob. 36E Ch. C.1 - In Problems 3542, solve the system of equations...Ch. C.1 - Prob. 38E Ch. C.1 - Prob. 39E Ch. C.1 - Prob. 40E Ch. C.1 - Prob. 41E Ch. C.1 - Prob. 42E Ch. C.1 - Prob. 43E Ch. C.1 - Prob. 44E Ch. C.1 - Prob. 45E Ch. C.1 - Prob. 46E Ch. C.1 - Prob. 47E Ch. C.1 - Prob. 48E Ch. C.1 - Prob. 49E Ch. C.1 - Prob. 50E Ch. C.1 - Prob. 51E Ch. C.1 - Prob. 52E Ch. C.1 - Prob. 53E Ch. 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C.3 - Prob. 37E Ch. C.3 - Prob. 38E Ch. C.3 - Prob. 39E Ch. C.3 - Prob. 40E Ch. C.3 - Prob. 41E Ch. C.3 - In Problems 39-44, solve each system of equations...Ch. C.3 - Prob. 43E Ch. C.3 - Prob. 44E Ch. C.3 - Prob. 45E Ch. C.3 - Prob. 46E Ch. C.3 - Prob. 47E Ch. C.3 - Prob. 48E Ch. C.3 - Prob. 49E Ch. C.3 - Prob. 50E Ch. C.3 - Prob. 51E Ch. C.3 - Prob. 52E Ch. C.3 - Prob. 53E Ch. C.3 - Prob. 54E Ch. C.3 - In Problems 51-56, an augmented matrix of a system...Ch. C.3 - In Problems 51-56, an augmented matrix of a system...Ch. C.3 - Prob. 57E Ch. C.3 - Prob. 58E Ch. C.3 - Prob. 59E Ch. C.3 - Prob. 60E Ch. C.3 - Prob. 61E Ch. C.3 - Prob. 62E Ch. C.3 - Prob. 63E Ch. C.3 - Prob. 64E Ch. C.3 - Prob. 65E Ch. C.3 - Prob. 66E Ch. C.3 - In Problems 57-78, solve each system of equations...Ch. C.3 - Prob. 68E Ch. C.3 - Prob. 69E Ch. C.3 - Prob. 70E Ch. C.3 - Prob. 71E Ch. C.3 - Prob. 72E Ch. C.3 - Prob. 73E Ch. C.3 - Prob. 74E Ch. C.3 - Prob. 75E Ch. C.3 - Prob. 76E Ch. C.3 - Prob. 77E Ch. 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C.4 - Prob. 21E Ch. C.4 - Prob. 22E Ch. C.4 - Prob. 23E Ch. C.4 - Prob. 24E Ch. C.4 - Prob. 25E Ch. C.4 - Prob. 26E Ch. C.4 - Prob. 27E Ch. C.4 - Prob. 28E Ch. C.4 - Prob. 29E Ch. C.4 - Prob. 30E Ch. C.4 - Prob. 31E Ch. C.4 - Prob. 32E Ch. C.4 - Prob. 33E Ch. C.4 - Prob. 34E Ch. C.4 - Prob. 35E Ch. C.4 - Prob. 36E Ch. C.4 - Prob. 37E Ch. C.4 - Prob. 38E Ch. C.4 - Prob. 39E Ch. C.4 - Prob. 40E Ch. C.4 - Prob. 41E Ch. C.4 - Prob. 42E Ch. C.4 - Prob. 43E Ch. C.4 - Prob. 44E Ch. C.4 - Prob. 45E Ch. C.4 - Prob. 46E Ch. C.4 - Prob. 47E Ch. C.4 - Prob. 48E Ch. C.4 - Problems 4750, use the following result....Ch. C.4 - Prob. 50E Ch. C.4 - Prob. 51E Ch. C.4 - Prob. 52E Ch. C.4 - Prob. 53E Ch. C.4 - Prob. 54E Ch. C.4 - Prob. 55E Ch. C.4 - In Problems 5560, use technology to solve the...Ch. C.4 - Prob. 57E Ch. C.4 - In Problems 5560, use technology to solve the...Ch. C.4 - Prob. 59E Ch. C.4 - Prob. 60E

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The system { 2 x − 4 y = 18 3 x + 5 y = − 3 using either substitution or elimination.

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To solve: The system {2x−4y=183x+5y=−3 using either substitution or elimination.

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Chapter C Solutions