To determine To solve: The system of equations { 4 x + 6 y = 1 8 x − 4 y = − 6 by using the substitution method. Explanation Property used: “ Step 1: Rearrange either equation to isolate one variable. Step 2 : Substitute the equivalent expression from step 1 into the other equation and solve for the remaining variable. Step 3 : Substitute the variable found in step 2 into the equation from step 1 to find the remaining value of the solution. Step 4: Check the solution in both original equations.” Calculation: Given that, the system of equations { 4 x + 6 y = 1 8 x − 4 y = − 6 . Step 1: From above equations, the first equation is 4 x + 6 y = 1 . Isolate y , from the equation 4 x + 6 y = 1 as follows. 4 x + 6 y = 1 6 y = − 4 x + 1 y = − 4 x + 1 6 Thus, the first equation becomes y = − 4 x + 1 6 . Step 2: Substitute − 4 x + 1 6 for y in the equation 8 x − 4 y = − 6 and obtain the value of x as follows. 8 x − 4 ( − 4 x + 1 6 ) = − 6 8 x + 8 x 3 − 2 3 = − 6 ( Distribute − 2 into ( − 4 x + 1 3 ) ) 32 x 3 = − 6 + 2 3 32 x 3 = − 16 3 x = − 1 2 Thus, the value of x is − 1 2 . Step 3: Substitute − 1 2 for x in the equation y = − 4 x + 1 6 and obtain the value of y as follows. y = − 4 x + 1 6 y = − 4 ( − 1 2 ) + 1 6 y = 2 + 1 6 y = 1 2 Thus, the value of y is 1 2

MML F/COLLEGE MAT F/TRADES - ACCESS CODE

10th Edition

ISBN: 9781323845967

Author: Hobbs

Publisher: PEARSON

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Chapter 10.3, Problem 18E

To determine

To solve: The system of equations {4x+6y=18x−4y=−6 by using the substitution method.

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Chapter 10.3, Problem 17E

Chapter 10.3, Problem 19E

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MML F/COLLEGE MAT F/TRADES - ACCESS CODE

Ch. 10.1 - Is the point (−1, 6) on the graph of the equation...Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Solve the systems of equations by graphing. See...Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E Ch. 10.1 - Solve the systems of equations by graphing. See...Ch. 10.1 - Prob. 9E

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