Explanation Given information: The system of equations 3 x − 6 y = − 1 , 9 x + 4 y = 8 . Formula Used: Solving a System of Equations by Using the Addition Method Step 1 Write both equations in standard form: A x + B y = C . Step 2 Clear fractions or decimals. Step 3 Multiply one or both equations by nonzero constants to create opposite coefficients for one of the variables. Step 4 Add the equations from step 3 to eliminate one variable. Step 5 Solve for the remaining variable. Step 6 Substitute the known value from step 5 into one of the original equations to solve for the other variable. Step 7: Check the ordered pair in both the equations. Calculation: Consider the provided equations as: 3 x − 6 y = − 1 …… (1) 9 x + 4 y = 8 …… (2) Multiply the (1) equation by − 3 to get a new system of equations: − 9 x + 18 y = 3 9 x + 4 y = 8 Note that the coefficient of the variables x in both the equations have opposite signs. Now add the two equations and solve for y as follows, − 9 x + 18 y + 9 x + 4 y = 3 + 8 22 y = 11 y = 1 2 Now substitute back the value of y in the (1) equation and solve for x

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Chapter 4.3, Problem 29PRE

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To calculate: The solution of the system of equations 3x−6y=−1,9x+4y=8 and to classify the system as inconsistent or dependent if no unique solution exists.

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Chapter 4.3, Problem 28PRE

Chapter 4.3, Problem 30PRE

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Chapter 4 Solutions

BEG+INTERMEDIATE ALG CNCT MATH ALEKS AC

Ch. 4.1 - Determine whether the ordered paired is a solution...Ch. 4.1 - Determine whether the ordered paired is a solution...Ch. 4.1 - Solve the system by the graphing method. y = − 3 x...Ch. 4.1 - Solve the system by the graphing method. y = 2 x −...Ch. 4.1 - Solve the system by the graphing. 5. Ch. 4.1 - Solve the system by the graphing. 6. Ch. 4.1 - a. A______ of linear equations consists of two or...Ch. 4.1 - For Exercises 2-10, determine if the given point...Ch. 4.1 - Prob. 3PE Ch. 4.1 - Prob. 4PE

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The solution of the system of equations 3 x − 6 y = − 1 , 9 x + 4 y = 8 and to classify the system as inconsistent or dependent if no unique solution exists.

Solution Summary: The author calculates the solution of the system of equations 3x-6y =-1,9x+4y=8 by using the Addition Method.

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To calculate: The solution of the system of equations 3x−6y=−1,9x+4y=8 and to classify the system as inconsistent or dependent if no unique solution exists.

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Chapter 4 Solutions